Question

The area of a triangle is 37.5 cm². If its base is 12.5 cm; the corresponding altitude is ______.

Options

• 3 cm

• 25 cm

• 6 cm

• 12 cm

Answer 1

The area of a triangle is 37.5 cm². If its base is 12.5 cm; the corresponding altitude is 6 cm.

Explanation:

Using the formula for the area of a triangle, \[\text{Area} = \frac{1}{2} \times \text{base} \times \text{altitude}\], we substitute the given values: \[37.5 = \frac{1}{2} \times 12.5 \times h\]. Solving for height (h) gives \[h = \frac{37.5}{6.25} = 6\text{ cm}\].