In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB - Maths - Triangles

Question

In a right triangle ABC, right angled at C, P and Q are points of
the sides CA and CB respectively,which divide these sides in the
ratio 2: 1 Prove that(I) 9AQ2= 9AC2+4BC2 (II) 9 BP2= 9 BC2 +
4AC2(III) 9 (AQ2+BP2) = 13AB

Pooja · Accepted Answer

Here is the link for the answer to your query:

https://www meritnation
com/ask-answer/question/in-a-right-triangle-abc-right-angled-at-c-p-and-q-are-poi/triangles/5044942

In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB respectively,which divide these sides in the ratio 2: 1. Prove that(I) 9AQ2= 9AC2+4BC2 (II) 9 BP2= 9 BC2 + 4AC2(III) 9 (AQ2+BP2) = 13AB