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Quantitative Aptitude

Triangles

In triangle A...

Question

In triangle ABC, side AB = 20, AC = 11, and BC = 13. Find the diameter of the semicircle inscribed in ABC, whose diameter lies on AB, and is tangent to AC and BC.

A

10

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B

9

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C

13

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D

11

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Solution

The correct option is D 11
Option (D) is the correct answer. Check the video for the approach.

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Q. In triangle ABC, side AB = 20, AC = 11, and BC = 13. The diameter of the semicircle inscribed in ABC, whose diameter lies on AB, and that is tangent to AC and BC is ___

Q. In a triangle with sides a, b, and c, a semicircle touching the sides AC and CB is inscribed whose diameter lies on AB. Then, the radius of the semicircle is

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is inscribed in semicircle whose diameter is

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¯ ¯¯¯¯¯¯ ¯ A C + ¯ ¯¯¯¯¯¯ ¯ B C

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