Question

The area of the triangle below is 4.06 square meters. What is the length of the base?2.8 mET

Answer 1

b = 2.9 m

Step-by-step explanation

The area of a triangle is,

`A=(b\cdot h)/(2)`

Where b is the length of the base and h is the height of the triangle.

In this problem, we know that the area is A = 4.06 m² and the height is h = 2.8 m,

`4.06m^2=(b\cdot2.8m)/(2)`

We have to solve this equation for b. Multiply both sides by 2,

`\begin{gathered} 2\cdot4.06m^2=(b\cdot2.8m)/(2)\cdot2 \\ \\ 8.12m^2=b\cdot2.8m \end{gathered}`

And divide both sides by 2.8 m,

`\begin{gathered} (8.12m^2)/(2.8m)=(b\cdot2.8m)/(2.8m) \\ \\ 2.9m=b \end{gathered}`

Hence, the length of the base is 2.9 m.