Question

Find the area of the triangle whose sides are 11m 60m 61m by using heron's formula

Answer 1

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By using Herons formula you can find the area of the triangle

Area of the triangle=√s(s-a)(s-b)(s-c)

      Let  a=11m

             b=60m

             c=61m

                    s=(a+b+c)÷2

                      =(11+60+61)÷2              

 ∴s=66m

                       =132÷2  = 66m

As I said  Area =√s(s-a)(s-b)(s-c)

                   =√66(66-11)(66-60)(66-61)

                      =√66×55×6×5

We can take the common factors outside 

                         =√6×11×5×11×6×5

      By removing the roots we will get

                          =6×11×5

                          =330m²

Answer 2

acc to Heron's formula,
A=√sxs-axs-bxs-c, where s is the semiperimeter and a,band c are sides.
s= a+b+c /2
s is equal to 11+60+61/2
s = 132/2
s= 66
A=√ 66x66-11x66-60x66-61
A= √66x 55x 6x 5
A= √ 6x11x5x11x6x5
A= 6x11x5
A= 330m²