Multiple choice

If one of the sides of a right-angled triangle is twice the other and the hypotenuse is 15 cm, then find the area of the triangle.

  1. 20 cm2

  2. 35 cm2

  3. 45 cm2

  4. 50 cm2

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let sides be x and 2x. x^2 + (2x)^2 = 15^2. 5x^2 = 225. x^2 = 45. Area = 1/2 * base * height = 1/2 * x * 2x = x^2 = 45.

AI explanation

Let the sides of the right triangle be a and 2a, so by the Pythagorean theorem, a squared plus 2a squared equals 15 squared. This simplifies to 5a squared equals 225, making a squared equal to 45. The area of the right triangle is half the product of the legs, calculated as one half times a times 2a, which equals a squared, giving an area of 45 square cm.

Keep practicing — related questions