Question

Find the area of a triangle whose sides are 35cm,45cm and 50 cm?

Answer 1

To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter

s = (a+b+c)/2
where a, b, and c are the length of the three sides of a triangle

s = (35 + 45 + 50) / 2
   = 130 / 2 
   = 65 cm

Area of scalene triangle is given by 

A = sqrt (s (s - a) (s - b) (s - c))
    = sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))
    = sqrt (65 * 30 * 20 * 15)
    = sqrt (585000)
    = 764.853 sq cm

Area of a triangle is 764.853 sq cm

Answer 2

hi guys here is it's answer.

s=a+b+c/2

s=35+45+50/2

s=130/2

s=65

by heron's formula,,

√s(s-a)(s-b)(s-c)

√65(65-35)65-45)(65-50)

√65(30)(20)(15)

√13×5×3×5×2×2×5×2×3×5

5×3×2×5√13×2

15×10√26

150√26 is the ans