Question

ABC is a triangle with AB = AC = 12 cm and ∠A = 90°, the area of the triangle ABC is ______.

Options

• 144 cm²

• 36 cm²

• 72 cm²

• 108 cm²

Answer 1

ABC is a triangle with AB = AC = 12 cm and ∠A = 90°, the area of the triangle ABC is 72 cm².

Explanation:

Since ∠A = 90°, sides AB and AC form the base and height of a right-angled triangle. The area is calculated as \[\frac{1}{2} \times \text{AB} \times \text{AC} = \frac{1}{2} \times 12 \times 12 = 72\text{ cm}^2\].