Question

Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.a=47ftb=59ftc=65ft

Answer 1

Okay, here we have this:

Considering the provided measures, we are going to calculate the area of the triangle, so we obtain the following:

So to calculate the area of the triangle we are going to use Heron's formula. so, we have:

`A_=√(S(S-a)(S-b)(S-c))`

And S is equal to (a+b+c)/2, let's first calculate S and replace with the values in the formula:

S=(47+59+65)/2=171/2=85.5

Replacing:

`\begin{gathered} A=√(85.5(85.5-47)(85.5-59)(85.5-65)) \\ A=√(85.5(38.5)(26.5)(20.5)) \\ A=√(1788243.1875) \\ A\approx1337.3ft^2 \end{gathered}`

Finally we obtain that the area of the triangle is approximately equal to 1337.3 ft^2