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

1 Answer
Rui D.
Jul 7, 2016

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.#

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