CBSE Class 10 Maths (Standard) 2019 · Paper 30/5/1 · Question 18(b)

Triangles 3 marks Medium

In Figure 1,

E

is a point on

C B

produced of an isosceles

△ A B C

, with side

A B = A C

. If

A D ⊥ B C

and

E F ⊥ A C

, prove that

△ A B D \sim △ E C F

Isosceles triangle ABC with AD perp BC and EF perp AC (Figure 1)

Answer

△ A B D \sim △ E C F

(by the AA similarity criterion).

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