Question

The lengths of two sides other than the hypotenuse of a right-angled triangle are 9 cm and 40 cm. The largest side of the triangle is (in cm)

• A. 46
• B. 43
• C. 41
• D. 44

Answer 1

The Correct Option is C

Use the Pythagorean theorem to find the hypotenuse: \[ c^2 = 9^2 + 40^2 = 81 + 1600 = 1681 \] Taking the square root of both sides: \[ c = \sqrt{1681} = 41 \] In a right-angled triangle, the hypotenuse can be found using the Pythagorean theorem: \( c^2 = a^2 + b^2 \).