in∆ABC and ∆PQT,if∆ABC-∆PQR such that ab/pq=3/4,then find the ratio of area (∆ABC) to the at(∆PQR)
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Answer:
the ratio of area (∆ABC) to the at(∆PQR) = 9:16
Step-by-step explanation:
as we know
if ∆ABC-∆PQR
then
area( (∆ABC) /area (∆PQR) = (AB)²/(PQ)²
= (3)²/(4)²
=9/16
Answered by
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Given that: In ∆ABC & ∆PQR, ∆ABC~∆PQR such that AB/PQ=3/4 i.e AB:PQ=3:4
Therefore, ar(∆ABC):ar(∆PQR)=3²:4²
=9:16
Hence, the required ratio is 9:16.
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