Two triangles are similar. Their areas are 45 cm² and 80 cm². A side of the smaller triangle measures 6 cm. What is the length of the corresponding side of the larger triangle?

Question

Accepted Answer

8 cm. In similar triangles the ratio of areas is the square of the ratio of corresponding sides. 45 : 80 = 9 : 16, so the sides are in the ratio 3 : 4. Therefore the corresponding side = 6 × 4/3 = 8 cm.

Two triangles are similar. Their areas are $45 cm^{2}$ and $80 cm^{2}$ . A side of the smaller triangle measures 6 cm. What is the length of the corresponding side of the larger triangle?

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Two triangles are similar. Their areas are 45cm2 and 80cm2. A side of the smaller triangle measures 6 cm. What is the length of the corresponding side of the larger triangle?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Geometry practice

Two triangles are similar. Their areas are $45 cm^{2}$ and $80 cm^{2}$ . A side of the smaller triangle measures 6 cm. What is the length of the corresponding side of the larger triangle?