Question

Solve for y given that this is a right triangle. Simplify answers completely. No decimals.

Answer 1

Answer:

y = 4$\sqrt{5}$

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

y² = 8² + 4² = 64 + 16 = 80 ( take the square root of both sides )

y = $\sqrt{80}$ = $\sqrt{16(5)}$ = 4$\sqrt{5}$ ← exact value