Question

Find the indicated side of the

right triangle.
45
y
9
45°
х
y = [?]

Answer 1

y = 9√2

Explanation:

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

y² = 9² + x²

By the property of isosceles triangle,

Two angles of the right triangle are equal in measure, opposite sides of these equal angles will be equal in measure.

Therefore, x = 9

y² = 9² + 9²

y² = 81 + 81

y² = 162

y = √162

y = 9√2