please answer this question using heron's formula
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35+54+61=180. 150=180
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Heron’s formula is root of s(s-a)(s-b)(s-c)
S is semiperimeter
a,b,c are the sides of the triangle
S = perimeter /2
35+54+61= 150/2 = 75
Root of 75(75-35)(75-54)(75-61)
Root of 75(40)(21)(14)
Root of 25 x3 x20x2x7x3x7x2
25 root is 5
5 x root of 3x3x20x2x2x7x7
3x3= 3^2
Root and square will be cancelled
So 5x3x2x7 root of 20
Answer is root of 20 x210
S is semiperimeter
a,b,c are the sides of the triangle
S = perimeter /2
35+54+61= 150/2 = 75
Root of 75(75-35)(75-54)(75-61)
Root of 75(40)(21)(14)
Root of 25 x3 x20x2x7x3x7x2
25 root is 5
5 x root of 3x3x20x2x2x7x7
3x3= 3^2
Root and square will be cancelled
So 5x3x2x7 root of 20
Answer is root of 20 x210
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