The three sides of a triangle are consecutive natural numbers
MATHEMATICS · Subjective · CBSE · Mathematics · Heron's Formula · Heron's Formula
Problem
The three sides of a triangle are consecutive natural numbers. The area of the triangle is 84cm2.
(i) Represent the three sides in terms of a single variable and derive an equation satisfied by that variable.
(ii) Solve the equation and write the side lengths.
(iii) Hence find the perimeter of the triangle.