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In δPqr, Ps ⊥ Qr ; Prove That: Pq > Qs and Pr > Ps - Mathematics

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Question

In ΔPQR, PS ⊥ QR ; prove that: PQ > QS and PR > PS

Sum

Solution

In ΔPQS,
PS ⊥ QR      ....(Given)

PS < PR      ....(Of all the straight lines that can be drawn to a given straight line from a point outside it, the perpendicular is the shortest.)

I.e. PR > PS.

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Chapter 13: Inequalities in Triangles - Exercise 13.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 13 Inequalities in Triangles
Exercise 13.1 | Q 17.2
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