Question

The sides of a triangle are 122 m, 22 m and 120 m respectively. The area of the triangle is:

• A. 1320 sq.m
• B. 1300 sq.m
• C. 1400 sq.m
• D. 1420 sq.m

Answer 1

The correct option is A 1320 sq.m

Explanation: Given,
a = 122 m
b = 22 m
c = 120 m
Semi-perimeter, $S=\frac{(122+22+120)}{2}=132m$
Using heron's formula:
$A=\sqrt{s(s-a)(s-b)9s-c)}A=\sqrt{132(132-122)(132-22)(132-120)}A=\sqrt{132\times 10\times 110\times 12}=\sqrt{11\times 12\times 10\times 11\times 10\times 12}=1320m^2$