Calculating whether right triangles are congruent - GMAT Quantitative
Card 1 of 32
A right triangle has a height of 
and a base of 
. In order for another triangle to be congruent, what must be the length of its hypotenuse?
A right triangle has a height of
Tap to reveal answer
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of 
and a base of 
, its hypotenuse must be the same length as the hypotenuse of that triangle, which we can find using the Pythagorean Theorem:
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of
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A given right triangle has a base of 
and a height of 
. What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of 
, the congruent right triangle must also have a base of 
.
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A given right triangle has a height of 
and an acute angle of 
. What must the acute angle of a congruent right triangle be?
A given right triangle has a height of
Tap to reveal answer
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of 
, the congruent right triangle must also have an acute angle of 
.
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of
← Didn't Know|Knew It →
A given right triangle has a base of 
and a height of 
. What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of 
, the congruent right triangle must also have a base of 
.
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A right triangle has a height of and a base of . In order for another triangle to be congruent, what must be the length of its hypotenuse?
A right triangle has a height of
Tap to reveal answer
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of and a base of , its hypotenuse must be the same length as the hypotenuse of that triangle, which we can find using the Pythagorean Theorem:
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of
← Didn't Know|Knew It →
A given right triangle has a base of and a height of . What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of , the congruent right triangle must also have a base of .
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A given right triangle has a height of and an acute angle of . What must the acute angle of a congruent right triangle be?
A given right triangle has a height of
Tap to reveal answer
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of , the congruent right triangle must also have an acute angle of .
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of
← Didn't Know|Knew It →
A given right triangle has a base of and a height of . What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of , the congruent right triangle must also have a base of .
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A right triangle has a height of and a base of . In order for another triangle to be congruent, what must be the length of its hypotenuse?
A right triangle has a height of
Tap to reveal answer
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of and a base of , its hypotenuse must be the same length as the hypotenuse of that triangle, which we can find using the Pythagorean Theorem:
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of
← Didn't Know|Knew It →
A given right triangle has a base of and a height of . What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of , the congruent right triangle must also have a base of .
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A given right triangle has a height of and an acute angle of . What must the acute angle of a congruent right triangle be?
A given right triangle has a height of
Tap to reveal answer
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of , the congruent right triangle must also have an acute angle of .
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of
← Didn't Know|Knew It →
A given right triangle has a base of and a height of . What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of , the congruent right triangle must also have a base of .
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A right triangle has a height of and a base of . In order for another triangle to be congruent, what must be the length of its hypotenuse?
A right triangle has a height of
Tap to reveal answer
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of and a base of , its hypotenuse must be the same length as the hypotenuse of that triangle, which we can find using the Pythagorean Theorem:
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of
← Didn't Know|Knew It →
A given right triangle has a base of and a height of . What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of , the congruent right triangle must also have a base of .
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A given right triangle has a height of and an acute angle of . What must the acute angle of a congruent right triangle be?
A given right triangle has a height of
Tap to reveal answer
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of , the congruent right triangle must also have an acute angle of .
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of
← Didn't Know|Knew It →
A given right triangle has a base of and a height of . What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of , the congruent right triangle must also have a base of .
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A right triangle has a height of and a base of . In order for another triangle to be congruent, what must be the length of its hypotenuse?
A right triangle has a height of
Tap to reveal answer
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of and a base of , its hypotenuse must be the same length as the hypotenuse of that triangle, which we can find using the Pythagorean Theorem:
In order for two triangles to be congruent, they must be identical. That is, the lengths of the corresponding sides of two congruent triangles must be equal. This means that in order for a triangle to be congruent to one with a height of
← Didn't Know|Knew It →
A given right triangle has a base of and a height of . What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of , the congruent right triangle must also have a base of .
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →
A given right triangle has a height of and an acute angle of . What must the acute angle of a congruent right triangle be?
A given right triangle has a height of
Tap to reveal answer
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of , the congruent right triangle must also have an acute angle of .
In order for two right triangles to be congruent, the hypotenuses and acute angles must be identical. Since we have a given right triangle with an acute angle of
← Didn't Know|Knew It →
A given right triangle has a base of and a height of . What must the base length of a congruent right triangle be?
A given right triangle has a base of
Tap to reveal answer
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of , the congruent right triangle must also have a base of .
In order for two right triangles to be congruent, the bases and heights must have identical lengths. Since we have a given right triangle with a base of
← Didn't Know|Knew It →