Question

Area of ΔABC is ______.

Options

• 20 sq. units

• 10 sq. units

• 6 sq. units

• 12 sq. units

Answer 1

Area of ΔABC is 10 sq. units.

Explanation:

Coordinates of A = (0, 4)

Coordinates of B = (–2, 0)

Coordinates of C = (3, 0)

This forms a triangle ABC with base BC on the x-axis and height from A perpendicular to the base.

Step 1: Length of base BC

BC = Distance between B(−2, 0) and C(3, 0) = 3 − (−2) = 5 units

Step 2: Height from A to base

Since A is at (0, 4), height = 4 units

Step 3: Area of triangle

Area = `1/2 × "base" × "height" = 1/2​ × 5 × 4 = 10` sq. units