The area of a right triangle is 24 sq cm. Its base is 2 cm longer than its height.
Let the height be $x$ . Form a quadratic and factorise to find the height (in cm).

Question

The area of a right triangle is 24 sq cm. Its base is 2 cm longer than its height. Let the height be x. Form a quadratic and factorise to find the height (in cm).

Accepted Answer

6. Area = 1/2 x (x + 2) = 24, so x(x + 2) = 48, i.e. x^2 + 2x - 48 = 0 = (x + 8)(x - 6). Height = 6 cm.

The area of a right triangle is 24 sq cm. Its base is 2 cm longer than its height.
Let the height be $x$ . Form a quadratic and factorise to find the height (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Roots by Factorisation practice

The area of a right triangle is 24 sq cm. Its base is 2 cm longer than its height.Let the height be x. Form a quadratic and factorise to find the height (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Roots by Factorisation practice

The area of a right triangle is 24 sq cm. Its base is 2 cm longer than its height.
Let the height be $x$ . Form a quadratic and factorise to find the height (in cm).