A triangle has an area of 15cm2. If it has a height of 5cm, what is the length of its base?
a = bh/2
so,
5b/2 = 15
To find the length of the base of a triangle, we need to use the formula for the area of a triangle: Area = (1/2) * base * height.
In this case, we are given the area of the triangle (15cm^2) and the height (5cm).
Let's substitute the values into the formula:
15cm^2 = (1/2) * base * 5cm
To isolate the base, we need to solve for it. We can do that by rearranging the equation.
First, divide both sides of the equation by (1/2) to get rid of the fraction:
15cm^2 / (1/2) = base * 5cm
Next, simplify the left side of the equation:
30cm^2 = base * 5cm
Now, divide both sides of the equation by 5cm to solve for the base:
30cm^2 / 5cm = base
The cm^2 unit cancels out with the cm unit, leaving us with the length of the base:
6cm = base
Therefore, the length of the base of the triangle is 6cm.
By using the formula for the area of a triangle and isolating the base, we were able to find the answer.