An isosceles triangle has an area of 32 cm2, and the angle between the two equal sides is 5π/6. Find the length of the two equal sides. (Round your answer to one decimal place.)

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03-12-2016
Mathematics

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An isosceles triangle has an area of 32 cm2, and the angle between the two equal sides is 5π/6. Find the length of the two equal sides. (Round your answer to one decimal place.)

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MissPhiladelphia MissPhiladelphia · Answer 1 · 2016-12-05T17:55:29+01:00

MissPhiladelphia MissPhiladelphia

05-12-2016

The area of a triangle can be determined by knowing 2 sides and their included angle of a certain triangle. Since both sides are equal, then they would just be denoted by a squared entity. This is done as follows:

A = x² sin∅
32 = x² sin (5*pi/6)

Make sure your calculator is in rad form.

32 = x² (1/2)
x = 8

Thus, each side is 8 cm.

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