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A triangular section of land has side length of 6km, 4km and 3km. What is the area of the region of land?

User Eric Chang
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1 Answer

8 votes
8 votes

We have

First we will calculate the semi perimeter


s=(a+b+c)/(2)

where a,b, and c is the length of the sides of a triangle

a=6km

b=4km

c=3km

we substitute the values


s=(6+4+3)/(2)=6.5

Then we will use the next formula to find the area


A=\sqrt[]{s(s-a)(s-b)(s-c)}

then we substitute the values


\begin{gathered} A=\sqrt[]{6.5(6.5-6)(6.5-4)(6.5-3)} \\ A=\sqrt[]{6.5(0.5)(2.5)(3.5)} \\ A=√(28.4375) \\ A=5.33\operatorname{km}^2 \end{gathered}

A triangular section of land has side length of 6km, 4km and 3km. What is the area-example-1
User LuminousEagle
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