2001
Mathematics
67ca00ce0c643c71d77dee1f
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°
Correct Answer: 120°
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°
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°THIS WEEK's
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