मराठी

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

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प्रश्न

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

बेरीज
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उत्तर

In ΔPQS, 

PS < PQ    ....(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. PQ > PS

Also, QS < QP   ....(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. PQ > QS.

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