Question

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

Answer 1

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.