Question

∆PQR ~ ∆ABC. If ar(PQR) = 27 sq. cm, ar (ABC) = 75 sq. cm and BC = 10 cm, then QR =
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Answer 1

Answer:

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Step-by-step explanation:

triangle ABC is similar to triangle PQR.

now,

according to the theorem of area of similar triangles and their sides,

∆PQR=QR^2

∆ABC= BC^2

now, substituting values,

27=QR^2

75=(10)^2

27=QR^2

75=100

100×27=QR^2

75

4×27= QR^2

3

4×9= QR^2

36=QR^2

√36=QR

6=QR

Answer 2

Answer:

10 cm because if two triangles are congruent then it's angles and sides are equal

Here, BC=QR therefore length of BC= length of QR