CAT 2021 Geometry & Mensuration Question (Medium)

Question

In triangle PQR, PS is perpendicular to QR and S divides QR in the ratio of 3 1 internally. If PQ 21 and PR 9, find QR.

Optima Learn · Accepted Answer

To find QR, we need to use the Pythagorean theorem in the two right triangles formed by the perpendicular PS. Understanding the setup PS QR, and S divides QR so that QS SR 3 1. Let QR 4k, so QS 3k and SR k. PQ 21, PR 9. Analyzing the Calculation in right triangle PQS, PQ PS QS , so 441 PS 9k . In ri

CAT 2021 Geometry & Mensuration — Previous Year Question

CAT 2021

Quantitative

Geometry & Mensuration

Medium

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