Question

Given that ∆ ABC~ ∆ DEF & AB =2 cm,BC =3cm,DE = 4 cm ,EF = 6 cm.If DF = 8 cm,then AC = ? *​

Answer 1

Given that ∆ ABC~ ∆ DEF & AB =2 cm,BC =3cm,DE = 4 cm ,EF = 6 cm.If DF = 8 cm,then AC = ? *

AC is 4cm

Answer 2

The length of AC is 4 cm.

Given:

∆ ABC~ ∆ DEF

AB=2 cm, BC=3cm, DE=4 cm, EF=6 cm, DF=8 cm

To find:

The length of AC

Solution:

The two given triangles are similar and so, the ratio of their sides that are corresponding will be equal.

Since ∆ ABC ~ ∆ DEF, AB/DE=BC/EF=AC/DF.

The ratio of the sides will remain equal.

Using the given lengths of the sides,

2/4=3/6=AC/8

1/2=1/2=AC/8

So, on equating AC/8 and 1/2, we get

AC/8=1/2

AC=1/2×8

AC=8/2

AC=4 cm

Therefore, the length of AC is 4 cm.