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CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1 · Question 34

Triangles 5 marks Medium
Prove that a line drawn parallel to one side of a triangle to intersect the other two sides in distinct points divides the other two sides in the same ratio. Hence, in the figure given below, prove that where and .
L M N A B C D

Answer

The Basic Proportionality Theorem is proved by comparing areas of triangles; applying it in and in gives , hence .

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