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  4. In a scalene triangle, one side exceeds the other two sides by 4 cm and 5 cm, respectively, and the perimeter of the triangle is 36 cm. Find the area of the triangle in cm 2.

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Q. In a scalene triangle, one side exceeds the other two sides by $4 cm$ and $5 cm$, respectively, and the perimeter of the triangle is $36 cm$. Find the area of the triangle in $cm ^2$.

Mensuration

Solution:

(i) Consider the sides of triangle as $a, a+4$ and $a+5$.
(ii) Consider the sides as $a, a-4$ and $a-5$.
(iii) Given, perimeter $=36$ and evaluate sides.
(iv) Find the area by Heron's formula.