Question

The areas of two similar triangles are 25 cm² and 36 cm² respectively. If the altitude of the first triangle is 3.5 cm then the corresponding altitude of the other triangle is ______.

Options

• 5.6 cm

• 6.3 cm

• 4.2 cm

• 7 cm

Answer 1

The areas of two similar triangles are 25 cm² and 36 cm² respectively. If the altitude of the first triangle is 3.5 cm then the corresponding altitude of the other triangle is 4.2 cm.

Explanation:

For similar triangles, linear measures (like altitudes) scale as the square root of the area ratio.

Here, `sqrt(36/25) = 6/5`.

So, the corresponding altitude = `3.5 × (6/5)`

= 3.5 × 1.2

= 4.2 cm