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Find the area of the triangle below.Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth.15 km13 kmkm18 km

Find the area of the triangle below.Carry your intermediate computations to at least-example-1

1 Answer

23 votes
23 votes

We are asked to determine the area of a triangle given its three sides. To do that we will use the following formula:


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

Where "a", "b" and "c" are the sides of the triangle and the parameter "s" is given by:


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

Now we find the value of "s":


s=(15+13+18)/(2)

Solving the operations:


s=(46)/(2)=23

Now we replace the values in the formula for the area:


A=\sqrt[]{23(23-15)(23-13)(23-18)}

Solving the parenthesis:


A=\sqrt[]{23(8)(10)(5)}

Solving the product:


A=\sqrt[]{9200}

Solving the square root:


A=96.0

Therefore, the area is 96.0 square kilometers.

User Tdooner
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