Two triangles PQR and XYZ each have a perimeter of 30 cm
MATHEMATICS · Multi-part · CBSE · Mathematics · Heron's Formula · Heron's Formula
Problem
Two triangles PQR and XYZ each have a perimeter of 30 cm. The sides of triangle PQR are 12 cm, 9 cm, 9 cm, while the sides of triangle XYZ are all 10 cm.
(a) For each triangle, compute the semiperimeter.
(b) Calculate the area of each triangle.
(c) Determine which triangle has the larger area and by how much.
(d) Find the ratio of the area of triangle PQR to the area of triangle XYZ in its simplest form.