*दोन समरूप त्रिकोणांच्या संगत भुजांचे गुणोत्तर 2ः5 आहे , लहान त्रिकोणाचे क्षेत्रफळ 64 चौसेमी असेल तर मोठ्या त्रिकोणाचे क्षेत्रफळ किती ?* 1️⃣ 200 चौसेमी 2️⃣ 400 चौसेमी 3️⃣ 800 चौसेमी 4️⃣ 100 चौसेमी
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Solution :-
given that,
→ Ratio of corresponding sides of two similar ∆'s = 2 : 5
→ Area of ∆1 = 64 cm²
since given two ∆'s are similar . Then,
- Ratio of areas of them = Ratio of square of there corresponding sides .
therefore,
→ 64/∆2 = (2/5)²
→ 64/∆2 = 4/25
→ ∆2 = 16 * 25
→ ∆2 = 400 cm² (Ans.)
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