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If ΔABC ∼ ΔPQR, area of ΔABC/area of ΔPQR = 900/1225 and value of side PR = 7 cm, find the value of side AC. 1. 10 cm2. 5 cm3. 6 cm4. 30 cm |
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Answer» Correct Answer - Option 3 : 6 cm Given: ΔABC ∼ ΔPQR Area of ΔABC/Area of ΔPQR = 900/1225 Value of side PR = 7 cm. Concepts used: If ΔABC ∼ ΔPQR, Area of ΔABC/Area of ΔPQR = (AC/PR)2 = (AB/PQ)2 = (BC/QR)2 Calculation: As ΔABC ∼ ΔPQR, ⇒ Area of ΔABC/Area of ΔPQR = (AC/PR)2 = (AB/PQ)2 = (BC/QR)2 ⇒ 900/1225 = (AC/PR)2 ⇒ √900/√1225 = AC/PR ⇒ 30/35 = AC/7 cm ⇒ AC = (30 × 7)/35 cm ⇒ AC = 210/35 cm ⇒ AC = 6 cm. ∴ The value of side AC is 6 cm. |
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