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SSC CHSL 2023 PYQ — Question 52

SSC CHSL - 08 Aug 2023 - Shift 2 • Quantitative Aptitude • Q52

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∆ABC is similar to ∆PQR. If the ratio of the perimeter of ∆ABC and perimeter of ∆PQR is 24 : 16 and PQ = 4.8 cm, then the length (in cm) of AB is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 7.2.

When two triangles are similar, then the ratio of the corresponding sides is equal to the ratio of the perimeters of the triangles.

According to the given question,

∆ABC is similar to ∆PQR, ABPQ=BCQR=ACPR=Perimeter of ABCPerimeter of PQR{AB \over PQ} = {BC \over QR} = { AC \over PR} = {Perimeter\ of\ ABC \over Perimeter\ of\ PQR}

⇒ AB4.8=2416{AB \over 4.8} = {24 \over 16}

⇒ AB = 24 × 0.3

⇒ AB = 7.2