The area of two similar triangle respectively 9 cm2. and 16 cm2. Find the ratio of their corresponding sides. दो समरूप त्रिभुजों के क्षेत्रफल क्रमशः 9 सेमी2. और 16 सेमी2. है, तो उनके संगत भुजाओं का अनुपात क्या है?

For similar triangles, the ratio of their areas equals the square of the ratio of their corresponding sides. If area ratio is 9:16, then side ratio = √9:√16 = 3:4. This is because area scales with the square of linear dimensions - if sides are in ratio k, areas are in ratio k². This property applies to all similar 2D figures, not just triangles. Option C (2:3) would give area ratio 4:9, and D (4:5) would give 16:25.