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the length of three sides of a triangle are 18cm 24cm and 30 cm .find the area of a triangle whose vertices are the incentre

Answer :

Final answer:

The area of the triangle with sides 18cm, 24cm, and 30cm is approximately √77760 cm².

Explanation:

The area of a triangle can be calculated using Heron's formula: [tex]Area = √(s(s-a)(s-b)(s-c))[/tex]e lengths of the sides of the triangle and s is the semi-perimeter, given by [tex]s = (a+b+c)/2[/tex]e, the lengths of the sides of the triangle are 18cm, 24cm, and 30cm. Using these values, we can calculate the semi-perimeter: [tex]s = (18+24+30)/2 = 36cm[/tex]es into the formula, we have [tex]Area = √(36(36-18)(36-24)(36-30)) = √(36(18)(12)(6)) = √77760 cm².[/tex]

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