An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.
Heron's Formula
29 Likes

Question

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

KnowledgeBoat · Accepted Answer

Length of equal sides (a and b) = 12 cm Let third side of triangle (c) = x cm Given, Perimeter of triangle = 30 ∴ 12 + 12 + x = 30 ⇒ 24 + x = 30 ⇒ x = 30 - 24 ⇒ x = 6 cm. ∴ c = 6 cm. By formula, Semi perimeter (s) = = 15 cm. By Heron's formula, Area of triangle (A) = sq.units Substituting values we get : Hence, area of triangle = cm².

Mathematics

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

Heron's Formula

Related Questions

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m. The advertisements yield an earning of ₹ 5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?

There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.

Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540 cm. Find its area.

Mathematics

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

Heron's Formula

Related Questions

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m. The advertisements yield an earning of ₹ 5000 per m2 per year. A company hired one of its walls for 3 months. How much rent did it pay?

There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.

Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540 cm. Find its area.

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m. The advertisements yield an earning of ₹ 5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?