Question

the areas of two similar triangles ∆ABC~∆DEF are 49cm2 and 144cm2 if BC=7cm find EF​

Answer 1

Step-by-step explanation:

Given :∆ABC ~ ∆ DEF

ar(∆ABC) = 49cm2

ar(∆DEF) = 144cm2

BC= 7 cm

To find : EF

Solution :

ar(∆ABC)/ar(∆DEF) =BC^2/EF^2

49cm2/144cm2= (7)^2/ EF^2

49*EF^2= 144*49

EF^2= 144*49/49

EF^2= 144

EF= 12 cm ____