Question

In given figure, AD = 3 cm, AE = 5 cm, BD = 4 cm,
CE = 4 cm, CF = 2 cm, BF = 2.5 cm, then
(a) DE || BC
(b) DF || AC
(c) EF || AB
(d) none of these​

Answer 1

Answer:

Option (a)

DE || BC

Step-by-step explanation:

Given:

AD$=3$

AE$=5$

BD$=4$

CE$=4$

CF$=2$

BF$=2.5$

We need to find which sides are parallel

BC is base and BD and EC are equal in length So BCED form a trapezium

So DE || BC

Answer 2

Given : In given figure, AD = 3 cm, AE = 5 cm, BD = 4 cm,

CE = 4 cm, CF = 2 cm, BF = 2.5 cm,

To Find : Correct option

(a) DE || BC

(b) DF || AC

(c) EF || AB

(d) none of these​

Solution:

if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

2.5/2  = 5/4

=> BF/FC  = AE/EC

Hence EF || AB

Check other

3/4  ≠ 5/4

3/4 ≠ 2.5/2

Hence EF || AB

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