Class 10 Maths · Triangles · NCERT Exercise 6.4 · Question 11

Triangles Medium

△ P QR

P D ⊥ QR

such that D lies on QR. If

P Q = a

P R = b

Q D = c

and

D R = d

, prove that

(a + b) (a - b) = (c + d) (c - d)

Answer

Proved:

(a + b) (a - b) = a^{2} - b^{2} = c^{2} - d^{2} = (c + d) (c - d)

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