CBSE Class 10 Maths (Basic) 2024 · Paper 430/2/1 · Question 24(b)

Triangles 2 marks Easy

In the given figure,

∠ D = ∠ E

and

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

. Prove that

△ A B C

is isosceles.

Triangle ABC with points D on AB, E on AC and segment DE; angle D = angle E

Answer

Since

D E ∥ B C

∠ A B C = ∠ A D E = ∠ A E D = ∠ A C B

, so

A B = A C

and

△ A B C

is isosceles. Hence proved.

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