Question

Statement (1): The sides of a triangular board are 8 cm, 6 cm and 10 cm; the cost of painting it at the rate of ₹ 10 per square em is `1/2 xx 6 xx 8 xx ₹ 10`.

Statement (2): 10² = 8² + 6² ⇒ Sides of the triangle are 8 cm and 6 cm.

Options

• Both the statements are true.

• Both the statements are false.

• Statement 1 is true, and statement 2 is false.

• Statement 1 is false, and statement 2 is true.

Answer 1

Both the statements are true.

Explanation:

Statement 1 correctly calculates the total cost by multiplying the area of the right-angled triangle \[(\frac{1}{2} \times 6 \times 8)\] by the rate of ₹ 10. Statement 2 correctly verifies that the sides satisfy the Pythagorean theorem \[(10^2 = 8^2 + 6^2)\], confirming the perpendicular sides of the triangle.