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Three angles A, B and C of a triangle are in parallel series and AM is perpendicular to BC. What will be the value of BM/AB ?
Question

Three angles A, B and C of a triangle are in parallel series and AM is perpendicular to BC. What will be the value of BM/AB ?

A.

14\frac{1}{4}

B.

13\frac{1}{3}

C.

12\frac{1}{2}

D.

34\frac{3}{4}

Correct option is C

Given:

Three angles A, B and C of a triangle are in parallel series and AM is perpendicular to BC.

Solution:

Let ABC is equilateral triangle and his side is a.

All angle is 60°60\degree.​

So,

BMAB=a2a=a2×1a=12\frac{BM}{AB} = \frac{\frac{a}{2}}{a} = \frac{a}{2} \times \frac{1}{a} = \frac{1}{2}

Thus, the correct answer is (c).

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