Find the indicated side of the
right triangle.
45
y
9
45°
х
y = [?]

Answer:
y = 9√2
Step-by-step 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