दोन समरूप त्रिकोणाच्या संगत बाजूचे गुणोत्तर 4:9 असेल तर त्यांच्या क्षेत्रफळाचे गुणोत्तर किती
Answers
Given :- If the ratio of the corresponding sides of two identical triangles is 4: 9 then what is the ratio of their areas ?
Solution :-
we know that,
- Ratio of area od two similar ∆'s = Ratio of square of their corresponding sides .
so,
→ Area ∆1 : Area ∆2 = (side 1)² : (side 2)²
→ Area ∆1 : Area ∆2 = (4)² : (9)²
→ Area ∆1 : Area ∆2 = 16 : 81 (Ans.)
Hence, the ratio of their areas will be 16 : 81 .
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