Question

Find the missing side lengths and leave the radicals in the simplest form.

Answer 1

`y=(9√(2) )/(2)` and x=9

Explanation:

We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.

`y=(9√(2) )/(2)`

To solve for x use Pythagorean Theorem.

a^2 + b^2 = c^2.

`(9√(2) )/(2) +(9√(2) )/(2)=x^2\\\\(81)/(2) +(81)/(2) =x^2\\\\(162)/(2) =x^2\\\\x=\sqrt{(162)/(2) } =√(81) =9\\\\x=9`