find the area of the triangle whose sides are 17cm,15cm and 8cm using herons formula​

2 thoughts on “find the area of the triangle whose sides are 17cm,15cm and 8cm using herons formula​”

1. Answer:

   [tex]\sqrt{s(s-a)(s-b)(s-c)} = Area[/tex]

   [tex]s=(17+15+8)/2[/tex]

   [tex]s=40/2=20 cm[/tex]

   [tex]A=\sqrt{20(20-17)(20-15)(20-8)}[/tex]

   [tex]A=\sqrt{20(3)(5)(12)}[/tex]

   A= sq root of 20 X 3 X 5 X 12

   sq root of (4 X 5) X 3 X 5 X (3 X 4)

   sq root of [tex]3^{2} X 4^{2} X 5^{2}[/tex]

   A=3 X 4 X 5

   Area of the triangle= 60 sq.cm

   Hope it was helpful

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2. Answer:

   60

   Step-by-step explanation:

   Here, P = 8 + 15 + 17 = 21 cm

   S = (a + b + c)/2 sos

   = 40/2 = 20 cm

   s – a = 12, s – b = 5, s – c = 3

   Area of riangle= sqrt S(S-a)(S-b S-b)(S-c)

   = sqrt 20(12)(5)(3)

   = sqrt 40(12)(5)(3)

   60

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