Question

The formula for the area of a triangle is A=bh/2. The area of a triangle is 26 cm squared and its base is 12cm. Using algrebra, what is the height of the triangle?

Answer 1

4 and 1 / 3 cm

Explanation:

Consider the following;

`A = 1 / 2 * Base * Height,\\26 cm^2 = 1 / 2 * ( 12 cm ) * Height`

Let us say that Height = x. If that is so, through algebra, let us solve for x;

`26 cm^2 = 1 / 2 * ( 12 cm ) * x,\\26 cm^2 = 6 cm * x,\\26 cm^2 / 6 cm = x,\\\\x = 26 cm^2 / 6 cm,\\x = 4 and 1 / 3\\\\Conclusion, Height = 4 and 1 / 3 ( cm )`

Solution ⇒ 4 and 1 / 3 cm