CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1 · Question 24(a)

Triangles 2 marks Medium

In the given figure, D is a point on the side BC of

△ A B C

such that

∠ A D C = ∠ B A C

. Show that

C A^{2} = C D \cdot C B

Answer

Since

△ A C D \sim △ B C A

by AA similarity,

\frac{C A}{C B} = \frac{C D}{C A}

, so

C A^{2} = C D \times C B

. Hence proved.

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