Question

"In the 45°-45°-90° triangle above, r = 10. Find the other two lengths.

A) p = 3√2, q = 10√2
B) p = 5√2, q = 2√2
C) p = 5, q = 8
D) p = 6√3, q = 8√6
(WILL DRAW PICTURE BELOW)"

Answer 1

We are given a right triangle that has angles of 45°-45°-90°. This would indicate that the triangle is an isosceles type. We can use some trigonemetric functions to solve for the other legs. We do as follows:

sin 45 = p / 10

p = 5√2

cos 45 = q /10

q = 5√2

Hope this answers the question. Have a nice day.