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

The area of the triangle below is 4.06 square meters. What is the length of the base-example-1
User Themiurgo
by
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1 Answer

4 votes

ANSWER

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.

User Gaku Ueda
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6.3k points