The area of a triangle whose sides are of lengths 12 cms, 5 cms, and 13 cms is :
A
30 cms
B
40 cms
C
50 cms
D
None of these
Correct Answer: 30 cms
Given, sides of triangle 5 cm, 12 cm, 13 cm.Now, semi perimeter, s = = sum of the sides of triangle/2 = (5 + 12 + 13)/2 cm = 15 cmUsing heron's formula, Area of triangle = √[s(s−a)(s−b)(s−c)] = √[15(15−5)(15−12)(15−13)] = √[15×10×3×2] = 30 cm2