Question

The sides of the triangle are 56cm .52cm and 60 cm long . the area of the triangle is........?

Answer 1

side a = 56cm
side b =52cm
side c =60cm (hypotenuse)

area = 1/2  * a * b
           0.5* 56 * 52
           28*52
           1456

∴ area =1456cm²

Answer 2

using Heron's Formula  $\sqrt{s(s-a)(s-b)(s-c)}$

s=a=b=c
s= 56+52+60 ÷ 2 =168 ÷ 2 =84
therefore,   $\sqrt{s(s-a)(s-b)(s-c)}$
                   $\sqrt{84(84-56)(84-52)(84-60)}$
                 = $\sqrt{84*28*32*24}$
                 = $\sqrt{1806336}$
                 = 1344cm²

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