O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 3: Chapter Test

Find the value of $x$.

Tell if the measures can be the side lengths of a triangle. If so classify the triangle as acute, obtuse, or right.
$10, 22, 15$

Tell if the measures can be the side lengths of a triangle. If so classify the triangle as acute, obtuse, or right.
$8, 13, 23$

Tell if the measures can be the side lengths of a triangle. If so classify the triangle as acute, obtuse, or right.
$9, 14, 17$

Tell if the measures can be the side lengths of a triangle. If so classify the triangle as acute, obtuse, or right.
$1\frac{1}{2}, 2, 2\frac{1}{2}$

Two trees are standing on flat ground. The height of the smaller tree is $7 \mathrm{m}$. The distance between the top of the smaller tree and the base of the taller tree is $15 \mathrm{m}$. The distance between the top of the taller tree and the base of the smaller tree is $20 \mathrm{m}$. The horizontal distance between the two trees is $\sqrt{k} \mathrm{m}$. Find the value of $k$.

Two trees are standing on flat ground. The height of the smaller tree is $7 \mathrm{m}$, The distance between the top of the smaller tree and the base of the taller tree is $15 \mathrm{m}$. The distance between the top of the taller tree and the base of the smaller tree is $20 \mathrm{m}$. The height of the taller tree is $\sqrt{k} \mathrm{m}$. Find the value of $k$.

A girl walks $200 \mathrm{m}$ towards East and then $150 \mathrm{m}$ towards North. The distance of the girl from the starting point is