O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Triangles, Exercise 2: Exercise

Your garden is in the shape of a rectangle that measures $24 \mathrm{m}$ by $32 \mathrm{m}$. You want to put a diagonal walk from corner to corner across the garden. What will be the length of the walk?

A tree is broken at a height of $8 \mathrm{m}$ from the ground and its top touches the ground at a distance of $15 \mathrm{m}$ from the base of the tree. Find the original height of the tree.

Determine if a triangle with sides of given lengths is a right triangle.
$9, 12, 15$

Determine if a triangle with sides of given lengths is a right triangle.
$15, 20, 25$

Determine if a triangle with sides of given lengths is a right triangle.
$10, 22, 26$

Determine if a triangle with sides of given lengths is a right triangle.
$12.6, 3.2, 13$

The perimeter of a rectangle, whose one side measures $10 \mathrm{m}$ and the diagonal measures $26 \mathrm{m}$ is

A $20 \mathrm{m}$ ladder is placed against the wall in such a way that the foot of the ladder is $16 \mathrm{m}$ away from the wall. How up on the wall is the upper end of the ladder?