Question

Solve for y. Simplify your answer completely

Answer 1

7

Explanation:

Since this is a right triangle, we are going to use pythagorean theorem

`{a}^(2) + {b}^(2) = {c}^(2)`

Where a and b are the legs and c are the hypotenuse.

Let plug it in.

`{6}^(2) + {y}^(2) = { √(85) }^(2)`

`36 + {y}^(2) = 85`

`y {}^(2) = 49`

`y = √(49 )`

`y = 7`