Examples of 30-60-90 Triangles
EXAMPLE 1: | Find the exact length of the side marked x in the triangle on the right: | ![]() |
SOLUTION: "Exact" means we must give a simplified answer involving square roots. In this triangle, side is the hypotenuse, so we set its length to 2a: 8 = 2a. Thus, a = 4, and since side
is adjacent the 30o angle, its length is
, so in this case
.
EXAMPLE 2: | Find the exact length of the hypotenuse in this right triangle: | ![]() |
SOLUTION:
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Comparing with a standard 30-60-90 triangle, the given side is ![]() ![]() ![]() ![]() ![]() ![]() |
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