NCERT Solutions for Chapter: Heron's Formula, Exercise 1: Exercise

An isosceles right triangle has area $8 {\mathrm{cm}}^2$. Then length of its hypotenuse is?

The sides of a triangle are $56 \mathrm{cm}, 60 \mathrm{cm}\text{ and }52 \mathrm{cm}$ long. Then the area of the triangle is

The area of an equilateral triangle with side $2\sqrt{3} \mathrm{cm}$ is

The length of each side of an equilateral triangle having an area $9\sqrt{3} {\mathrm{cm}}^2$ is

If the area of equilateral triangle is $16\sqrt{3}{\mathrm{cm}}^2$, then the perimeter of the triangle is 

The sides of a triangle are $35 \mathrm{cm}, 54 \mathrm{cm}\text{ and }61 \mathrm{cm}$, respectively. Then, length of its longest altitude is 

The area of an isosceles triangle having base $2 \mathrm{cm}$ and length of its equal sides $4 \mathrm{cm}$ is

The edges of a triangular board are $6 \mathrm{cm}, 8 \mathrm{cm},$ and $10 \mathrm{cm}$. The cost of painting it at the rate of $9$ paise per ${\mathrm{cm}}^2$ is