Question

∆ABC~ ∆PQR , A( ∆ABC)= 80sqcm A(∆PQR) = 125 sqcm then complete

A(∆ABC)/
A( ∆PQR)

=

80/
125 =

[….]/
[….]

hence AB/
PQ=

[…..]/
[…..]​

Answer 1

Answer:

A(∆ABC) /A(∆PQR) = 80/125 = 16/25

hence AB/PQ=4/5

Answer 2

Solution :-

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

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

since it is given that, ∆ABC~ ∆PQR ,

then,

→ A(∆ABC)/ A( ∆PQR) = AB² / PQ²

→ 80 / 125 = AB² / PQ²

→ 16 / 25 = AB² / PQ²

→ 4² / 5² = AB² / PQ²

square root both sides,

→ 4/5 = AB/PQ .

hence,

→ AB / PQ = 4 / 5 (Ans.)

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