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Question

Question 6
Angles Q and R of a ΔPQR are 25 and 65.
Write which of the following is true:
(i) PQ2+QR2=RP2
(ii) PQ2+RP2=QR2
(iii) RP2+QR2=PQ2

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Solution

In Δ PQR, [By Angle sum property of aΔ]25+65+RPQ=180 90+RPQ=180RPQ+18090=90Thus, ΔPQR is a right angled triangle, right angled at P.(Hypotenuse)2=(Base)2+(Perpendicular)2 [By Pythagoras theorem](QR)2=(PR)2+(QP)2Hence, Option (ii) is correct.


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