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Given an isosceles triangle with length of 2 equal sides t units and opposite si...


Question

Given an isosceles triangle with length of 2 equal sides t units and opposite side √3t units with angle θ. Find the value of the angle θ opposite to the √3t units.

Options

A) 100°

B) 120°

C) 30°

D) 60°

The correct answer is B.

Explanation:

Cos θ° = t2 + t2 -(√3t)2 2 x t x t
= 2t2 - 3t2
2t2
= -t2/2t2
= -1/2
Thus θ = cos-1 (-0.5) = 120°

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