Question

solve this: a triangle has an engle of 38. this is a scalene right triangle. one of the sides are 8 in length. what are the other angles?

Answer 1

52°, 90°

Explanation:

The two acute angles in a right triangle are complementary, because the third angle is 90°. For acute angles A and B, we must have ...

90° + A + B = 180°

A + B = 90° . . . . . subtract 90°; definition of complementary angles

B = 90° - A

For angle A = 38°, this tells us ...

B = 90° -38° = 52°

The other two angles in the triangle are 90° and 52°.