Question

Please explain in detail how you solved.​

Answer 1

Step-by-step 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.

$\frac{2 \sqrt{14} }{1} \times \frac{1}{ \sqrt{2 } } = \frac{ \sqrt{56} }{ \sqrt{2} } = \sqrt{28} = 2 \sqrt{7}$

Since x and y are equal, they both measure

$2 \sqrt{7}$