Question

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

Answer 1

Given;

Step-by-step 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=√(80) \\ y=√(16*5) \\ y=4√(5) \end{gathered}`

Final answer:

`y=4√(5)`