Quantitative Aptitude – Geometry – Triangles – On a triangle ABC, a circle with diameter BC

Slot -2 – Quantitative Aptitude – Geometry – Triangles – On a triangle ABC, a circle with diameter BC

On a triangle ABC, a circle with diameter BC is drawn, intersecting AB and AC at points P and Q, respectively. If the lengths of AB, AC, and CP are 30 cm, 25 cm, and 20 cm respectively, then the length of BQ, in cm, is?

Answer: 24 cm

Solution:

As CP is perpendicular to AB and BQ is perpendicular to AC. So
AB×CP=AC×BQ
30×20=25×BQ
BQ = 24 cm

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