Quest4Learn

CBSE Class 10 Maths (Basic) 2024 · Paper 430/S/1 · Question 35

Triangles 5 marks Very hard
If a line is drawn parallel to one side of a triangle intersecting the other sides in distinct points, prove that it divides the other sides in the same ratio. Use the above result to prove the following: In the given figure, if and , then prove that .
ABCEFDG
Configuration with EG parallel CB and FG parallel DB
ABCEFDG
Triangles sharing line AG with EG parallel CB and FG parallel DB

Answer

If in , comparing areas gives , which proves the theorem. Applying it in () and in () gives . Hence .

🔒 Step-by-step solution

Sign up free to see every step of how it is worked out.

From the board paper

More questions from Triangles

Class 10 Maths — every question with an expert-verified, step-by-step solution.

All 424 questions on Triangles → Browse all Maths chapters →