Question

solve for x and y. x = (simplify your answer. type an exact answer, using radicals as needed) y = (simplify your answer. type an exact answer, using radicals as needed)

Explanation:

Step1: Use geometric - mean theorem

$x^{2}=5\times7$
$x = \sqrt{35}$

Step2: Use Pythagorean theorem for y

$y=\sqrt{7^{2}-\sqrt{35}^{2}}=\sqrt{49 - 35}=\sqrt{14}$

Answer:

$x=\sqrt{35}$, $y = \sqrt{14}$