Basic Geometry : Right Triangles
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Example Question #1521 : Plane Geometry
If one angle of a right triangle is what is the measure of the third angle?
First we need to know that when we add up all 3 angles of a triangle, the sum will always equal (this is the case for all types of triangles). Since we know this is a right triangle, first we subtract (by definition all right triangles equal ).
We know another angle equals so we subtract it from and we get .
Our final answer is .
To check our answer we can add up the three angles to make sure we come up with a sum of .
Example Question #22 : How To Find An Angle In A Right Triangle
True or false:
True
False
True
By the 30-60-90 Triangle Theorem, the ratio of the length of the longer leg of a 30-60-90 triangle to that of the shorter leg is . In the given triangle, we see that this ratio is
,
the correct ratio. This is indeed a 30-60-90 triangle, and, being opposite the longer leg, has measure .
Example Question #23 : How To Find An Angle In A Right Triangle
A right triangle has side lengths of 5, 10, and 11.18 inches. One angle is 63.4 degrees. What is the measure of the other angle?
None of these.
Since this is a right triangle, simply add this right angle to the given angle and subtract from 180 degrees.
The side lengths are not relevant in this problem.
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