Δ ABC has sides of length 4 cm, 5 cm and 6 cm while Δ PQR has perimeter of 90 cm. If Δ ABC is similar to Δ PQR, then find the length of corresponding sides of Δ PQR.

Q.4 (1) Δ ABC has sides of length 4 cm, 5 cm and 6 cm while Δ PQR has perimeter of 90 cm. If Δ ABC is similar to Δ PQR, then find the length of corresponding sides of Δ PQR.

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: the corresponding sides of Δ PQR are 24 cm, 30 cm and 36 cm.

Perimeter of Δ ABC = 4 + 5 + 6 = 15 cm; perimeter of Δ PQR = 90 cm.

For similar triangles the ratio of the corresponding sides equals the ratio of the perimeters: \(\dfrac{AB}{PQ} = \dfrac{15}{90} = \dfrac{1}{6}\).

So PQ = 4 × 6 = 24 cm, QR = 5 × 6 = 30 cm, PR = 6 × 6 = 36 cm. (Check: 24 + 30 + 36 = 90 cm.)

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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Δ ABC has sides of length 4 cm, 5 cm and 6 cm while Δ PQR has perimeter of 90 cm. If Δ ABC is similar to Δ PQR, then find the length of corresponding sides of Δ PQR.

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