Question

Use Pythagorean Theorem to solve for the value of y. Leave your answer in SIMPLIFIED radical form.

Answer 1

SOLUTION

Given;

Explanation:

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Considering our question;

$12^2=8^2+y^2$$\begin{gathered} 144=64+y^2 \\ y^2=144-64 \\ y^2=80 \\ y=\sqrt{80} \\ y=\sqrt{16\times5} \\ y=4\sqrt{5} \end{gathered}$

Final answer:

$y=4\sqrt{5}$