Question

The triangles are similar. If DE=32, EF=24,and BC=6, find AB

Answer 1

ABC = DEF
AB = DE , AC = DF & BC = EF ( means similar )
EF = 4times BC
So, the triangle DEF is 4times the triangle ABC
EF = 24 and BC = 6
So, AB = DE/4 = 32/4 = 8

Answer 2

Answer:

The length of AB is 8

Step-by-step explanation:

The triangle ΔABC and ΔDEF are given as in figure-1

We can observe from given data that,

The length of sides of triangle ΔDEF is 4 times the sides of triangle ΔABC.

ΔABC ≅ ΔDEF

EF=4×BC  

⇒  EF=4×(6)=24

DE=4×AB  

Divide both sides by '4'

⇒ $\frac{DE}{4}$=AB

⇒  $\frac{32}{4}=AB$

⇒  8=AB

Hence the length of AB is 8