Question

If in two triangles ABC and def , ab/df =bc/fe=ca/ed then

Answer 1

Answer:

what we have to find in the question

Answer 2

Answer:

Δ ABC ~  Δ DFE

Step-by-step explanation:

Given AB/DF =BC/FE=CA/ED

We have to find the names of the triangles which are similar

First, we shall name Δ ABC

Now, in Δ ABC, AB is corresponding with DF or FD

That leaves only one vertex remaining for both triangles, i.e C & E

∴ Δ ABC ~  Δ DFE  ....case I

or

Δ ABC ~  Δ FDE  ....case II

Lets take the ratio for both cases

Case I

By BPT, we get AB/DF =BC/FE=CA/ED

Case II

By BPT, we get AB/FD =BC/DE=CA/EF

As we are given the 3 ratios as AB/DF =BC/FE=CA/ED, case I is the correct answer.

∴ Δ ABC ~  Δ DFE