English

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

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Question

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

Sum
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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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