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Given an isosceles triangle with length of 2 equal sides ...

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.

A.

100°

B.

120°

C.

30°

D.

60°

View answer & explanation

Correct answer is B

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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