Basic Geometry : Triangles

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #332 : Right Triangles

Find the measurement of \(\displaystyle x\).

3

Possible Answers:

\(\displaystyle 50\)

\(\displaystyle 60\)

\(\displaystyle 30\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 40\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 50+90+x=180\)

\(\displaystyle 140+x=180\)

\(\displaystyle x=40\)

Example Question #1511 : Basic Geometry

Find the measurement of \(\displaystyle x\).

4

Possible Answers:

\(\displaystyle 43\)

\(\displaystyle 23\)

\(\displaystyle 13\)

\(\displaystyle 33\)

Correct answer:

\(\displaystyle 23\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 67+90+x=180\)

\(\displaystyle 157+x=180\)

\(\displaystyle x=23\)

Example Question #1511 : Plane Geometry

Find the measurement of \(\displaystyle x\).

5

Possible Answers:

\(\displaystyle 51\)

\(\displaystyle 61\)

\(\displaystyle 71\)

\(\displaystyle 41\)

Correct answer:

\(\displaystyle 41\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 49+90+x=180\)

\(\displaystyle 139+x=180\)

\(\displaystyle x=41\)

Example Question #532 : Triangles

Find the measurement of \(\displaystyle x\).

6

Possible Answers:

\(\displaystyle 49\)

\(\displaystyle 9\)

\(\displaystyle 29\)

\(\displaystyle 19\)

Correct answer:

\(\displaystyle 19\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 71+90+x=180\)

\(\displaystyle 161+x=180\)

\(\displaystyle x=19\)

Example Question #531 : Triangles

Find the measurement of \(\displaystyle x\).

7

Possible Answers:

\(\displaystyle 29\)

\(\displaystyle 69\)

\(\displaystyle 49\)

\(\displaystyle 39\)

Correct answer:

\(\displaystyle 49\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 41+90+x=180\)

\(\displaystyle 131+x=180\)

\(\displaystyle x=49\)

Example Question #12 : How To Find An Angle In A Right Triangle

Find the measurement of \(\displaystyle x\).

8

Possible Answers:

\(\displaystyle 99\)

\(\displaystyle 79\)

\(\displaystyle 89\)

\(\displaystyle 69\)

Correct answer:

\(\displaystyle 69\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 21+90+x=180\)

\(\displaystyle 111+x=180\)

\(\displaystyle x=69\)

Example Question #13 : How To Find An Angle In A Right Triangle

Find the measurement of \(\displaystyle x\).

9

Possible Answers:

\(\displaystyle 54\)

\(\displaystyle 64\)

\(\displaystyle 44\)

\(\displaystyle 74\)

Correct answer:

\(\displaystyle 64\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 26+90+x=180\)

\(\displaystyle 116+x=180\)

\(\displaystyle x=64\)

Example Question #531 : Triangles

Find the measurement of \(\displaystyle x\).

10

Possible Answers:

\(\displaystyle 47\)

\(\displaystyle 57\)

\(\displaystyle 67\)

\(\displaystyle 77\)

Correct answer:

\(\displaystyle 57\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 33+90+x=180\)

\(\displaystyle 123+x=180\)

\(\displaystyle x=57\)

Example Question #21 : How To Find An Angle In A Right Triangle

Find the measurement of \(\displaystyle x\).

11

Possible Answers:

\(\displaystyle 32\)

\(\displaystyle 42\)

\(\displaystyle 52\)

\(\displaystyle 62\)

Correct answer:

\(\displaystyle 52\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 38+90+x=180\)

\(\displaystyle 128+x=180\)

\(\displaystyle x=52\)

Example Question #21 : How To Find An Angle In A Right Triangle

Find the measurement of \(\displaystyle x\).

12

Possible Answers:

\(\displaystyle 25\)

\(\displaystyle 45\)

\(\displaystyle 35\)

\(\displaystyle 55\)

Correct answer:

\(\displaystyle 45\)

Explanation:

Recall that the angles inside of a triangle must add up to \(\displaystyle 180\). The small square in the corner of the triangle indicates that it is a right angle that measures \(\displaystyle 90\) degrees.

Thus, for the triangle in question,

\(\displaystyle 45+90+x=180\)

\(\displaystyle 135+x=180\)

\(\displaystyle x=45\)

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