MATHEMATICS · Multi-part · CBSE · Mathematics · Heron's Formula · Heron's Formula
Problem
A triangle has sides 13 cm, 14 cm and 15 cm.
(a) Verify that these lengths satisfy the necessary condition for the existence of a triangle.
(b) Find the semiperimeter of the triangle.
(c) Calculate the area of the triangle.
(d) Using the area obtained in part (c), determine the height of the triangle corresponding to the side measuring 14 cm.