Question

Help whats the missing side lengths!

Answer 1

x = y = 2
`√(3)`

Explanation:

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

x = y

using Pythagoras' identity in the right triangle

x² + y² = (2
`√(6)` )² , that is

x² + x² = 24

2x² = 24 ( divide both sides by 2 )

x² = 12 ( take square root of both sides )

x =
`√(12)` =
`√(4(3))` =
`√(4)` ×
`√(3)` = 2
`√(3)`

then

x = y = 2
`√(3)`