Question

Write the answer in simplest radical form

Answer 1

y = 9
`√(2)` inches

Explanation:

Since the base angles are congruent then the triangle is isosceles with both legs being equal.

Using Pythagoras' identity in the right triangle

y² = 9² + 9² = 81 + 81 = 162 ( take the square root of both sides )

y =
`√(162)` =
`√(81(2))` = 9
`√(2)`