Alka Tuli and Rajesh Hassija Solutions for Chapter: Properties of Triangles, Exercise 6: Exercise

Find the value of $x$ in the triangle.

Find the value of x in the following triangle.

In a right-angled triangle, base $=12 \mathrm{cm}$ and hypotenuse $=15 \mathrm{cm}$. Find the perpendicular.

In $\mathrm{\Delta }PQR,$$PQ=12 \mathrm{cm}$ and $QR=9 \mathrm{cm}$. Find $PR$ (the triangle is right-angled at $Q$).

A man goes $12 \mathrm{m}$ east and then $5 \mathrm{m}$ north. Then the distance between the initial and final positions is $k \mathrm{m}$. Find the value of $k$.

A $10 \mathrm{m}$ ladder is placed against a wall. The base of the ladder is $6 \mathrm{m}$ from the wall. If the height up to which the top of the ladder reaches the wall is $\mathrm{H} \mathrm{m}$, then find the value of $\mathrm{H}$.

In $\mathrm{\Delta }ABC, AD\perp BC.$ Find the length of $BC$.

A man starts from a point and goes $10 \mathrm{m}$ towards east. Then, he turns towards north, goes $24 \mathrm{m}$ and finally stops. Find the distance between the starting point and the endpoint.