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

Triangles 3 marks Medium

In Fig. 3,

∠ A C B = 9 0^{\circ}

and

C D ⊥ A B

, prove that

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

Fig. 3

Answer

Proved:

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

(since

△ A D C \sim △ C D B

gives

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

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