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What is the perimeter of a 30-60-90 triangle with a shortest side of 3

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Answer: About 14.2 units.

Explanation:

It's given that this is a right triangle since there is a 90-degree angle.

Since this is a 30-60-90, a "special" triangle, it's given that the shortest side is opposite of the 30-degree angle. The hypotenuse is twice the shortest leg (3 units * 2 = 6 units). Lastly, the longer side is the square root of 3 times the shorter leg (
√(3) *3=3√(3)).

We can draw a diagram of this, see attached.

Lastly, we will solve for the perimeter by adding together all of the side lengths.

P = 3 units + 6 units +
3√(3) units = 3 + 6 + 5.1961524 ≈ 14.2 units

What is the perimeter of a 30-60-90 triangle with a shortest side of 3 Will give brain-example-1
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