Question

Find the area of the triangle.area triangle 1A. 14.1 km²B. 12.8 km²C. 15.2 km²D. 14.7 km²

Answer 1

Given:

a = 7 km

b = 6 km

c = 5 km

To find the Area of the triangle, we use Heron's formula, as follows:

`A=√(s(s-a)(s-b)(s-c))`

where s:

`Semi\text{ }Perimeter\text{ }(s)=(a+b+c)/(2)=(7+6+5)/(2)=9km`

hence:

`A=√(9*(9-7)*(9-6)*(9-5))=14.7km^2`

ANSWER

D. 14.7 km²