Length of three sides of a triangular field are 15 m, 19 m and 22 m respectively. What is the area of the field? (correct to one decimal place)
Answer & explanation
Correct answer: option 3
For our triangle:
a=15
b=19
c=22
First, we calculate the semi-perimeter:
S = (15+19+22)/2 = 28
Now we apply Heron's formula:
Area = \(\sqrt {s(s - a)(s - b)(s - c)}\)
= \(\sqrt {28(28 - 15)(28 - 19)(28 - 22)}\)
= \(\sqrt {19656}\)
Area = 140.2m2