Two triangles are similar and the ratio of their perimeters is 3 : 5. If the area of the smaller triangle is 45 cm², find the area of the larger one in cm².

Question

Accepted Answer

125. In similar figures the perimeters are in the ratio of corresponding sides, 3 : 5, so the areas are in the ratio 9 : 25. Larger area = 45 × 25/9 = 125 cm².

Two triangles are similar and the ratio of their perimeters is 3 : 5. If the area of the smaller triangle is $45 cm^{2}$ , find the area of the larger one in $cm^{2}$ .

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More Areas & Volumes practice

Two triangles are similar and the ratio of their perimeters is 3 : 5. If the area of the smaller triangle is 45cm2, find the area of the larger one in cm2.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

Two triangles are similar and the ratio of their perimeters is 3 : 5. If the area of the smaller triangle is $45 cm^{2}$ , find the area of the larger one in $cm^{2}$ .