soumyabiju96 soumyabiju96
  • 07-10-2019
  • Mathematics
contestada

find the area of a triangle whose sides are 40cm,24cm and 32cm using heron's formula​

Respuesta :

devishri1977
devishri1977 devishri1977
  • 07-10-2019

Answer:

Step-by-step explanation:

a = 40 cm

b = 24 cm

c = 32 cm

a + b + c  = 40 + 24 +32 = 96

S = a +b + c /2  = 96/2 = 48 cm

S - a = 48 - 40 = 8 cm

S - b = 48 - 24 = 24 cm

S - c = 48 - 32  =16 cm

Area = √S*(S-a) * (S-b) * (S-c)

        = √ 48 * 8 * 24 * 16   = √ 6 * 8 * 8 * 6 * 2 * 2 * 4 * 4

          = 6 * 8 * 2 * 4 =  384 Sq. cm

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