EXERCISE 11.4

Is it possible to have triangles with the following sides?

$5 \mathrm{cm}, 6 \mathrm{cm}, 4 \mathrm{cm}$

Is it possible to have triangles with the following sides?

$13 \mathrm{cm}, 12 \mathrm{cm}, 24 \mathrm{cm}$

Is it possible to have triangles with the following sides?

$2 \mathrm{cm}, 7 \mathrm{cm}, 9 \mathrm{cm}$

Is it possible to have triangles with the following sides?

$5.6 \mathrm{cm}, 6.5 \mathrm{cm}, 12 \mathrm{cm}$

The lengths of the two sides of a triangle are $4 \mathrm{cm}$ and $9 \mathrm{cm}$. Find two numbers between which is the length of the third side.

Find the possible lengths of the three sides of two triangles whose perimeter is $21 \mathrm{cm}$.

$\mathrm{O}$ is the point that lies in the interior of $△\mathrm{ABC}$. Is $2\left(\mathrm{OA}+\mathrm{OB}+\mathrm{OC}\right)>$Perimeter of $△\mathrm{ABC}$.

In the given figure, $\mathrm{O}$is the center of the circle of diameter $\text{'}\mathrm{a}\text{'}$. Check which is bigger, $\text{'}3\mathrm{a}\text{'}$ or the perimeter of $△\mathrm{ABC}$.