CBSE Class 10 Maths (Standard) 2019 · Paper 30/1/1 · Question 19(b)

Triangles 3 marks Medium

P

and

Q

are the points on side

C A

and

C B

respectively of

△ A B C

, right angled at

C

, prove that

(A Q^{2} + B P^{2}) = (A B^{2} + P Q^{2})

Answer

A Q^{2} + B P^{2} = A C^{2} + B C^{2} + C P^{2} + C Q^{2} = A B^{2} + P Q^{2}

. Proved.

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