Find the missing lengths of the sides

A ) a = 9 inches , b = 9 inches .

Step-by-step explanation:

Given : 90- 45 -45 triangle .

To find : Find the missing lengths of the sides.

Solution : We have given 90- 45 -45 triangle .

By the 90-45 -45 triangle rule : Two sides opposite to the angle 45 are equal and side opposite to angle 90 ( longest side) is √2 times of equal sides.

Longest side = √2 * equal side of triangle

Plug the longest side = 9√2 .

9√2  =  √2 * equal side of triangle.

On dividing both sides by  √2.

9 in = equal sides.

So, a = 9 inches , b = 9 inches .

Therefore, A ) a = 9 inches , b = 9 inches .