R S Aggarwal and Veena Aggarwal Solutions for Exercise 1: Exercise 15A

The perimeter of a right triangle is $40 \mathrm{cm}$ and its hypotenuse measure $17 \mathrm{cm}$. Find the area of the triangle.

Each side of an equilateral triangle is $10 \mathrm{cm}.$ Find (i) the area of the triangle and (ii) the height of the triangle.

The height of an equilateral triangle is $6 \mathrm{cm}$. Find its area. $[$Take $\sqrt{3}=1.73]$

If the area of an equilateral triangle is $36\sqrt{3} {\mathrm{cm}}^2$, find its perimeter.

The base of a right-angled triangle measures $48 \mathrm{cm}$ and its hypotenuse measures $50 \mathrm{cm}$. Find the area of the triangle.

The hypotenuse of a right-angled triangle is $65 \mathrm{cm}$ and its base is $60 \mathrm{cm}$. Find the length of perpendicular and the area of the triangle.

Find the area of a right-angled triangle, the radius of whose circumcircle measures $8 \mathrm{cm}$ and the altitude drawn to the hypotenuse measures $6 \mathrm{cm}$.

Each of the equal sides of an isosceles triangle measures $2 \mathrm{cm}$ more than its height, and the base of the triangle measure $12 \mathrm{cm}$. Find the area of the triangle.