Question

The area of ΔABC with vertices A(a, 0), O(0, 0) and B(0, b) in square units is ______.

Options

• ab

• `1/2 ab`

• `1/2 a^2b^2`

• `1/2 b^2`

Answer 1

The area of ΔABC with vertices A(a, 0), O(0, 0) and B(0, b) in square units is `underlinebb(1/2 ab)`.

Explanation:

A(a, 0), O(0, 0) and B(0, b) form a right triangle with legs AO = |a| (along x-axis) and OB = |b| (along y-axis).

Area = `1/2` × base × height

= `1/2 xx |a| xx |b|`, which for positive a, b is `1/2 ab`.