CBSE Class 10 Maths (Basic) 2020 · Paper 430/2/1 · Question 32

Triangles 3 marks Hard

In a rectangle

A B C D

P

is any interior point. Then prove that

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

Answer

P A^{2} + P C^{2} = p^{2} + q^{2} + a^{2} + b^{2} = P B^{2} + P D^{2}

, which proves the statement.

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