Question

If the area A of a triangle is 45 m2 (square meters) and the altitude h is 15 m, what's the base b?

Answer 1

`b = 6\ m`

Explanation:

The area of a triangle is

`A = 0.5b * h`

Where b is the base of the triangle and ha is the height.

In this case we have a triangle with area

`A = 45\ m ^ 2`

and with height:

`h = 15\ m`

So the base of the triangle is:

`45 = 0.5b (15)\\\\b=(45)/(15*0.5)\\\\b=6\ m`

Finally the base of the triangle is b = 6 meters

Answer 2

The base b is 6m

Explanation:

The area A of a triangle with base b and height h is given by the formula;

`A=(1)/(2)*b*h`

The area of the triangle is given as 45 while the height h is 15. We substitute these known values into the formula above and solve for the unknown base;

`45=(1)/(2)*b*15\\\\90=15*b`

We finally divide both sides by 15 to solve for b;

b = 90/15 = 6

Therefore, the base of the triangle is 6 m