Triangle A has sides measuring

MATHEMATICS · Multi-part · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

11\,\text{cm}

12\,\text{cm}

and

13\,\text{cm}

, while Triangle B has sides measuring

10\,\text{cm}

12\,\text{cm}

and

14\,\text{cm}

. The two triangles therefore have the same perimeter. Answer the following: (i) Find the semi-perimeter of each triangle. (ii) Calculate the area of Triangle A and Triangle B. (iii) State which triangle encloses the greater area and find the difference between the two areas (correct to one decimal place).

Related theory

Heron's Formula
Area of Triangles

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