if the side of ate triangle are A=41,B=15,C=28 then what is the area of triangle by heron's formula

A=41cm, B=15cm, C=28cm

using Heron's formula perimeter=41+15+28= 84

semiperimeter= 84/2 = 42 [semiperimeter= S]

now,

area of triangle= under root S (S-A) (S-B) (S-C)

= UNDER ROOT 42 (42-41) (42-15) (42-28)

= UNDER ROOT 42 * 1 * 27 * 14

=UNDER ROOT 2 * 3 * 7 * 3 * 3 * 3 * 2 *7

= (2 * 3 * 3 * 7)

= 126 cm^2

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