Question

If ∆ABC is similar to ∆DEF web that BC = 4

cm, EF = 7 cm sod area of ∆ABC = 144 sq.

cm, determine the area of​

Answer 1

Answer:

Area of ∆DEF = 441 cm²

Step-by-step explanation:

If ∆ABC is similar to ∆DEF web that BC = 4  

cm, EF = 7 cm sod area of ∆ABC = 144 sq.  

cm, determine the area of​

∆ABC ≅ ∆DEF

BC/EF = 4/7

Ratio of area of similar triangle = Ratio of their sides²

Area of ∆ABC / Area of ∆DEF = BC²/EF²

=> Area of ∆ABC / Area of ∆DEF = 4²/7²

=> 144/ Area of ∆DEF = 16/49

=> 9/ Area of ∆DEF = 1/49

=> Area of ∆DEF = 9 * 49

=> Area of ∆DEF = 441 cm²