is the longest side of the right angled triangle.

State True or False. Justify them.

Pythagoras Theorem is applicable to all triangles.

State True or False. Justify them.

One side of a right angled triangle must always be a multiple of $4$.

There are two paths that one can choose to go from Sarah's house to Jame's house. One way is to take $\mathrm{C}$ street, and the other way requires to take $\mathrm{A}$ street and then $\mathrm{B}$ street. If the direct path along $\mathrm{C}$ street is shorter by $k \mathrm{mile}$, find the value of $k$.

To get from point $\mathrm{A}$ to point $\mathrm{B}$ you must avoid walking through a pond. You must walk $34 \mathrm{m}$ south and $41 \mathrm{m}$ east. To the nearest meter, how many meters would be saved if it were possible to make a way through the pond?(Write the answer in $\mathrm{m}$).

In the rectangle $\mathrm{WXYZ}, \mathrm{XY}+\mathrm{YZ}=17 \mathrm{cm},$and $\mathrm{XZ}+\mathrm{YW}=26 \mathrm{cm}.$ Calculate the length and breadth of the rectangle?

The hypotenuse of a right triangle is $6 \mathrm{m}$ more than twice of the shortest side. If the third side is $2 \mathrm{m}$ less than the hypotenuse, find the sides of the triangle?