Manipur Board Solutions for Chapter: Mensuration, Exercise 1: EXERCISE 12.1

The sides of a triangle are in the ratio $5:7:8$ and its perimeter is $300 \mathrm{cm}$. Find its area.

Perimeter of an equilateral triangle is $36 \mathrm{cm}$. Find its area using Heron's formula.

Find the area of an equilateral triangle whose sides are of $14 \mathrm{cm}$ each using Heron's formula.

Find the area of an isosceles triangle whose base is $10 \mathrm{cm}$ and one of its equal sides is $13 \mathrm{cm}$.

Perimeter of an isosceles triangle is $40 \mathrm{cm}$ and each of the equal sides is $15 \mathrm{cm}$. Find the area of the triangle using Heron's formula.

A signboard is in the shape of an equilateral triangle with side 'a'. Find the area of the signboard using Heron's formula. If the perimeter of the board is $210 \mathrm{cm}$, what will be its area ?

The sides of a triangular field are $975 \mathrm{m}$, $1050 \mathrm{m}$ and $1125 \mathrm{m}$. If this field is sold at the rate of  $₹10 \mathrm{per} {\mathrm{m}}^2$, find its selling price.

Find the area of an isosceles triangle whose base is $6 \mathrm{cm}$ and perimeter is $16 \mathrm{cm}$.