Question

An acute angle of a right triangle measures 30°, and the length of the triangle's hypotenuse is 10 ft. Find the missing angle measure and side lengths.

Answer 1

missing angle <60 and side lengths 5, 5
`√(3)`

Explanation:

we understand from the given information that the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x
`√(3)`

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and x
`√(3)` = 5
`√(3)`