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Section CITIn the given figure, S and T trisect the side QR of a right triangle POR, prove that |
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Answer»  Secondary School Math 5 points A triangle PQR is right angeled at Q and points S and T trisect side QR.prove that 8PT^2= 3PR^2+5PS^2. Ask for details Follow Report byAhadiabdul27.08.2016  from where did you find this question  frm my book  which class and whose publication  class IX ML AGARWAL APC PUBLISHERS  I am from I.C.S.E board Log into add a comment Answers THE BRAINLIEST ANSWER!  lekhahasa Expert 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] Like my answer if you find it useful! |
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