Question

Length of a side and corresponding altitude of a triangle is doubled. The area of triangle will become ______.

Options

• double

• half

• four times

• one-fourth

Answer 1

Length of a side and corresponding altitude of a triangle is doubled. The area of triangle will become four times.

Explanation:

The area of a triangle is given by \[\frac{1}{2} \times \text{base} \times \text{altitude}\]. When both the base (side) and the corresponding altitude are doubled, the new area becomes \[\frac{1}{2} \times (2 \times \text{base}) \times (2 \times \text{altitude}) = 4 \times \text{original area}\], making it four times larger.