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If ∆ABC ~ ∆PQR, Perimeter of ∆ABC = 32 cm, perimeter of ∆PQR = 48 cm and PR = 6 cm, then find the length of AC.
If ∆ABC ~ ∆PQR, Perimeter of ∆ABC = 32 cm, perimeter of ∆PQR = 48 cm and PR = 6 cm, then find the length of AC.
CBSE | Class 10 | maths | Maths | ML Aggarwal | Similarity
If ∆ABC ~ ∆PQR, Perimeter of ∆ABC = 32 cm, perimeter of ∆PQR = 48 cm and PR = 6 cm, then find the length of AC.

Solution:-

From the question it is given that,

∆ABC ~ ∆PQR

Perimeter of ∆ABC = 32 cm

Perimeter of ∆PQR = 48 cm

So, AB/PQ = AC/PR = BC/QR

Then, perimeter of ∆ABC/perimeter of ∆PQR = AC/PR

32/48 = AC/6

AC = (32 × 6)/48

AC = 4

Therefore, the length of AC = 4 cm.

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