CBSE Class 10 Maths (Standard) 2020 · Paper 30/2/1 · Question 22(a)

Triangles 2 marks Medium

In Fig. 5,

A B C

and

D B C

are two triangles on the same base

B C

. If

A D

intersects

B C

O

, show that

\frac{ar ( △ A B C )}{ar ( △ D B C )} = \frac{A O}{D O}

Fig. 5 — triangles ABC and DBC on common base BC, with AD meeting BC at O.

Answer

\frac{ar ( △ A B C )}{ar ( △ D B C )} = \frac{A O}{D O}

, as required.

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