Asked by Anonymous

An isosceles triangle has legs 4 feet long. If the vertex angle measures 30 degrees, find the length of the base.

Answers

Answered by Reiny
let the base be 2x
Construct an altiude to the base, resulting in a right-angled triangle with hypotenuse 4, angle 15° and opposite side x
sin15 = x/4
x = 4sin15
so the base is 2x, or 8sin15°

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