Two similar triangles have areas of 81 cm² and 144 cm². The altitude of the larger one is 10 cm. What is the corresponding altitude of the smaller one?

Question

Accepted Answer

7.5 cm. Ratio of lengths = √81/144 = 9/12 = 3/4. So the altitude is 3/4 × 10 = 7.5 cm. (5.625 comes from using the area ratio directly.)

Two similar triangles have areas of $81 cm^{2}$ and $144 cm^{2}$ . The altitude of the larger one is 10 cm. What is the corresponding altitude of the smaller one?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Geometry practice

Two similar triangles have areas of 81cm2 and 144cm2. The altitude of the larger one is 10 cm. What is the corresponding altitude of the smaller one?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Geometry practice

Two similar triangles have areas of $81 cm^{2}$ and $144 cm^{2}$ . The altitude of the larger one is 10 cm. What is the corresponding altitude of the smaller one?