Question

The hypotenuse of a right triangle is 6 inches. if one of the legs is 2 inches, find the degree measure of each angle

Answer 1

(square root) 30

Explanation:

I don't know if that's right I'm taking this test right now it might be wrong sorry if its wrong lol

Answer 2

a and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:

`{c}^(2) = {a}^(2) + {b}^(2)`
given c = 6 in., a = 2 in.

`{c}^(2) = {a}^(2) + {b}^(2) \\ {6}^(2) = {2}^(2) + {b}^(2) \\ {b}^(2) = {6}^(2) - {2}^(2) = 36 - 4 \\ \sqrt{ {b}^(2) } = √(36 - 4) = √(32)`

`b = √(32) = √(16) * √(2) = 4 √(2) \\ b = 5.66 \: inches`
So the three side are 2, 6, and 5.66 inches