CBSE Class 10 Maths (Basic) 2025 · Paper 430(B)/S · Question 22(b)

Triangles 2 marks Easy

Prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Mid-point Theorem)

Answer

△ A B C

let

D

and

E

be the mid-points of

A B

and

A C

. Then

\frac{A D}{D B} = 1 = \frac{A E}{E C}

, so by the converse of the Basic Proportionality Theorem,

D E ∥ B C

. Hence proved.

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