Math CentralQuandaries & Queries


Subject: Question
Name: Paula
Who are you: Student

My names Paula and i'm in grade 10. I'm really having trouble solving this question using a quadratic equation.

The area of a triangle is 24cm². Its height is 2cm more than its base. Determine the base and the height.

Hi Paula,

The height of the triangle is 2 cm more than the base so i you know the base you can find the height by adding 2 cm. Suppose that the length of the base is b cm then the height is b + 2 cm. The area of a triangle is 1/2 x base x height so you have

24 = 1/2 x b x (b + 2)

Can you now solve for b?

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