Find the area of an isosceles right triangle, if one of the equal sides is $15 \mathrm{c}\mathrm{m}$ long.

If the answer is k ${\text{cm}}^2$ , then write the value of k.

Find the base (in terms of $\mathrm{dam}$) of the triangle area is $18$ $\mathrm{hectares}$ and height is $60 \mathrm{d}\mathrm{a}\mathrm{m}$.

Find the altitude of the triangle, if its area is $25 \mathrm{ares}$ and base is $20 \mathrm{m}$.

The area of a triangle is equal to that of a square whose each side measures $40 \mathrm{m}$. Find the side of the triangle whose corresponding altitude is $80 \mathrm{m}$.

The base and height of a triangle are in the ratio $2:3$ and its area is $48 \mathrm{c}{\mathrm{m}}^2$. Find its base and height.

A rectangular field is $24 \mathrm{m}$ long and $15 \mathrm{m}$ wide. How many triangular flower beds each of base $3 \mathrm{m}$ and altitude $4 \mathrm{m}$ can be laid in this field?

A right-angled triangle has the largest side as $13 \mathrm{c}\mathrm{m}$ and one of the sides containing the right angle as $12 \mathrm{c}\mathrm{m}$. Its area in ${\mathrm{c}\mathrm{m}}^2$ is

The area of a right-angled triangle is $40$ times its base. What is its height?

In two triangles, the ratio of their areas is $4:3$ and that of their heights is $3:4$. Find the ratio of their bases.