Find the area of the triangle below Carry your intermediate

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

Solution

To find the area of triangle we have to use the following formula

Area=sqrt(s(s-a)(s-b(s-c))

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

a=17km

b=13km

c=20km

s=(17+13+20)/2=25

Area=sqrt(25(25-17)(25-13)(25-20))

= sqrt(25× 8×12×5)= sqrt 12000=109.5 km²