Class 10 Maths · Triangles · NCERT Exercise 6.4 · Question 13

Triangles Hard

In Fig. 6.20,

l ∥ m

and line segments

A B

C D

and

E F

are concurrent at point

P

. Prove that

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

Fig. 6.20

Answer

Proved:

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

, each equal to

\frac{A P}{B P}

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