Explanation:
Since this is a right triangle and we are given an angle measure that measure 45, the other angle measure also measure 45.
So this means we are dealing with a 45-45-90 triangle.
A 45-45-90 triangle legs are equal to each other and the hypotenuse measures sqr root of 2 times more than the legs.
The hypotenuse measure 2 times sqr root of 14 so divide by sqr root of 2 to find x and y.
![(2 √(14) )/(1) * (1)/( √(2 ) ) = ( √(56) )/( √(2) ) = √(28) = 2 √(7)](https://img.qammunity.org/2022/formulas/mathematics/college/hrsj994mbmbm5zk9ssph2eo6py7tcz2hlm.png)
Since x and y are equal, they both measure
![2 √(7)](https://img.qammunity.org/2022/formulas/mathematics/college/iqsiexk1o9fj2qtmhdvi1t49xuob92qoe8.png)