Question

Whats the missing side lengths!

Answer 1

x = 3
`√(2)` , y =
`(3√(2) )/(2)`

Explanation:

this is a 90- 45- 45 isosceles triangle with legs congruent , that is

y =
`(3√(2) )/(2)`

using Pythagoras' identity in the right triangle

x² = (
`(3√(2) )/(2)` )² + y²

= (
`(3√(2) )/(2)` )² + (
`(3√(2) )/(2)` )² = 9 + 9 = 18 ( take square root of both sides )

x =
`√(18)` =
`√(9(2))` =
`√(9)` ×
`√(2)` = 3
`√(2)`