Mathematics, 01.09.2019 19:30, ihatemylife0

In a right triangle abc, right angled at c, p and q are points on the sides ca and cb respectively which divide these sides in the ratio 2: 1. prove that:
(i) 9 aq^2 = 9 ac^2 + 4 bc^2
(ii)9 bp^2 = 9 bc^2 + 4 ac^2
(iii) 9 (aq^2 + bp^2) = 13 ab^2

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In a right triangle abc, right angled at c, p and q are points on the sides ca and cb respectively w...