Asked by retr0
Find the area of an equilateral triangle with an apothem of 6 cm? Round your answer to the nearest tenth.
Answers
Answered by
oobleck
the sides of a 30-60-90 right triangle are in the ratio 1:√3:2
so the base of the triangle has length 2*6/√3 = 4√3
That makes the area of the triangle
1/2 bh = 1/2 * 4√3 * 6 = 12√3
so the base of the triangle has length 2*6/√3 = 4√3
That makes the area of the triangle
1/2 bh = 1/2 * 4√3 * 6 = 12√3
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