Question

∆ABP~ ∆DEF & A( ∆ABP): A(∆DEF) = 144: 81 then AB: DE =?​

Answer 1

Answer:

answer is 4:3 i hope it helps

Answer 2

Given :- ∆ABP~ ∆DEF & A( ∆ABP): A(∆DEF) = 144: 81 .

To Find :- AB : DE .

Solution :-

we know that, when two ∆'s are congruent ,

• Ratio of area of ∆'s = Ratio of square of their corresponding sides .

given that,

→ ∆ABP~ ∆DEF .

so,

→ A(∆ABP) : A(∆DEF) = AB² : DE²

→ A(∆ABP) / A(∆DEF) = AB² / DE²

→ 144 / 81 = AB² / DE²

→ 12² / 9² = AB² / DE²

→ AB / DE = 12/9

→ AB / DE = 4/3

→ AB : DE = 4 : 3 (Ans.)

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