The corresponding heights of two similar triangles are in the ratio 3 : 5. If the area of the smaller triangle is 27 cm², what is the area of the larger triangle?

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Accepted Answer

75 cm². The ratio of areas of similar triangles equals the square of the ratio of corresponding linear measures, so areas are in the ratio 9 : 25. Hence the larger area = 27 × 25/9 = 75 cm².

The corresponding heights of two similar triangles are in the ratio 3 : 5. If the area of the smaller triangle is $27 cm^{2}$ , what is the area of the larger triangle?

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The corresponding heights of two similar triangles are in the ratio 3 : 5. If the area of the smaller triangle is 27cm2, what is the area of the larger triangle?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Geometry practice

The corresponding heights of two similar triangles are in the ratio 3 : 5. If the area of the smaller triangle is $27 cm^{2}$ , what is the area of the larger triangle?