Question

The area of the triangle below is 24.75 square centimeters. What is the length of the base?

Answer 1

Okay, here we have this:

Considering the provided figure and information, we are going to calculate the requested measure, so we obtain the following:

So to calculate the length of the base, we will solve in the formula for the area of the triangle, we have:

Triangle Area=(Base*height)/2

Triangle Area*2=Base*height

Base=(Triangle Area*2)/height

Let's replace:

$\begin{gathered} Base=(24.75cm^2\cdot2)\frac{\placeholder{⬚}}{5.5cm} \\ =\frac{49.5cm^2}{5.5cm} \\ =9cm \end{gathered}$

Finally we obtain that the length of the base of triangle is 9 cm.