tion numbers 13 to 22 carry 3 marks each.in figure, S and T trisect th – InterviewSolution

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1.	tion numbers 13 to 22 carry 3 marks each.in figure, S and T trisect the side QR of a right triangle PQR, pro
Answer» Let,QS=xQS=ST=TR=xQT=2xQR=3xInΔPQT,∠Q=90°PT²=PQ²+QT² =PQ²+4x² -------------- 1InΔPQR,∠Q=90°PR²=PQ²+QR² =PQ²+9x²InΔPQS,∠Q=90°PS²=PQ²+QS² =PQ²+x²From eq.18PT²=8PQ²+32x²--------------------- eq.2[by multiplying eq.1 by 8]3PR²+5PS²=3(PQ²+9x²)+5(PQ²+x²) =3PQ²+27x²+5PQ²+5x² =8PQ²+32x² =8(PQ²+4x²) =8PT² [from eq.2]

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