Answer:
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 .
