Question

Find the length of x

Answer 1

x = 8
`√(2)`

Explanation:

The triangle is isosceles with legs congruent, both x

Using Pythagoras identity in the right triangle

x² + x² = 16²

2x² = 256 ( divide both sides by 2 )

x² = 128 ( take the square root of both sides )

x =
`√(128)` =
`√(64(2))` =
`√(64)` ×
`√(2)` = 8
`√(2)`