Question

The shorter leg of a 30-60-90 triangle is 4.3 feet long. What is the perimeter?

Answer 1

20.35 ft.

Explanation:

In a right triangle the shorter leg is opposed to the smaller angle, that's why:

`sin(30^@)="shorter leg"/"hypotenuse"`
`1/2=4.3/a => a=8.6`

Using the Pythagoras' Theorem:
`a^2=b^2+c^2`
`c^2=8.6^2-4.3^2=55.47 => c~=7.45`

So
`P=a+b+c=8.6+4.3+7.45=20.35 ft.`