S K Khanuja Solutions for Chapter: Triangle, Exercise 4: Exercise 47

The sides of a triangle are $15 \mathrm{cm}, 36 \mathrm{cm}, 39 \mathrm{cm}.$ Check whether it is a right triangle.

A man goes $24 \mathrm{m}$ due east and then $10 \mathrm{m}$ due north. If the man is at a distance of $x\mathit{ }\mathrm{m}$ from his initial position, then find the value of $x$.

A ladder is placed in such a way that its foot is $5 \mathrm{m}$ away from the wall and its top reaches a window $12 \mathrm{m}$ above the ground. Find the length of ladder.

Two poles $18 \mathrm{m}$ and $13 \mathrm{m}$ high stand upright in a ground. If their feet are $12 \mathrm{m}$ apart, find the distance between their tops in $\mathrm{m}$.

If the length of the diagonal of a rectangle with dimensions $16 \mathrm{m}$ and $12 \mathrm{m}$ is $\mathrm{k} \mathrm{m}$, then find the value of $k$.