A scalene triangle has an area of 20.335 square centimeters. The height of the triangle is 8.3 centimeters. What is the length of its base?

Question

2971 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-30T17:17:17

The base is 4.3 centimeters long.

We know that the formula for the area of a triangle is

$A = (b*h)/2$

Where the base is $b$ and the height is $h$ . We know what the height and the area are so we are going to reshape the formula to solve for $b$ .

$A = (b*h)/2 | * 2$

$2A = b*h | :h$

$(2A)/h = b$

And now we plug in the numbers:

$(2 * 20.335)/8.3 = b$

$4.9 = b$

So $b$ is 4.9 centimeters long.