Kesab Chandra Nag Solutions for Exercise 1: EXERCISE-1.1

The length of the medians of a triangle are $9 cm, 12 cm$ and $15 cm$. Find its area.

A rod of height $6 cm$ is displaced $90 cm$ from the foot of a mountain of height $126 cm$. Find the distance of the top of the mountain from the vertex of the rod.

One of the sides of a right- angled triangle is $36 cm$ and the sum of the hypotenuse and another side is $54 cm$. Find the length of the hypotenuse and another side. 

The hypotenuse of a right-angled triangle is $26 cm$ and the difference between the other two sides is $14 cm$. Find the length of the two sides.

The perimeter of a right-angled triangle is $60 cm$ and hypotenuse is $26 cm$. Find the lengths of its other two sides.

The perimeter of a right-angled isosceles triangle is $\sqrt{2}\left(\sqrt{2}+1\right) m$. Find the length of the hypotenuse. Also, find the area of the triangle.

The two sides adjacent to the right-angle triangle are $9 cm$ and $12 cm$. Find the length of the perpendicular drawn from the vertex to the hypotenuse.

The perimeter of an equilateral triangle is same as its area. Find its length of side.