A triangle has a set of three closed sides. It has an area, perimeter, which can be calculated using prescribed formulas.
Area of a triangle with sides 5 cm, 12cm, 13cm is 30c[tex]m^{2}[/tex].
Step-by-Step Explanation:
Let's assume a triangle with sides 5cm, 12cm, 13cm.
semi-perimeter= [tex]\frac{a+b+c}{2}[/tex]
s=[tex]\frac{5+12+13}{2}[/tex]
s=[tex]\frac{30}{2}[/tex]
s=15cm
Area of the triangle(according to the Heron's Formula)
=[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
=[tex]\sqrt{15(15-5)(15-12)(15-13)}[/tex]
=[tex]\sqrt{15(10)(3)(2)}[/tex]
=[tex]\sqrt{900}[/tex]
=[tex]30cm^{2}[/tex]
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