Perimeter and Area of a Triangle

In the figure, find $BC$, if the area of the triangle $ABC$ is $36{\text{ cm}}^2$ and the height $AD$ is $3 \text{cm}$.

Find the missing values.

(iii) Base$=22 \text{cm}$

Height $=-$

Area of the triangle$=170.5{\text{ cm}}^2$

Find the missing values.

(ii) Base$=-$

Height $=31.4\text{ cm}$

Area of the triangle${\text{=1256 cm}}^2$

Find the missing values.

(i) Base$=15 \text{cm}$

Height $=-$

Area of the triangle$=81{\text{ cm}}^2$

In the given figure, $△ABC$ is a right-angled triangle. $AD$ is perpendicular to $BC$. If $AB=5 \text{cm}$, $BC=13 \text{cm}$ and $AC=12\text{ cm}$, find the area of $△ABC$. Also, find the length of $AD$.

Find the area of shaded region of each of the following figures.

Find the area of shaded region of each of the following figures.

Find the area of shaded region of each of the following figures.

The area of a triangle is equal to the area of a parallelogram whose base is $15\text{ cm}$ and altitude is $8\text{ cm}$. If the base of the triangle is $20 \text{cm}$, find its altitude.

A field is in the form of a parallelogram has one of its diagonals $42 \text{m}$ long and the perpendicular distance of this diagonal from either of the outlying vertices is $10.8 \text{m}$. Find the area of the field.

A diagonal of a quadrilateral is $24 \text{cm}$ in length and lengths of the perpendiculars to it from the opposite vertices are $\text{5 cm and 8 cm}$. Find the area of the quadrilateral.

Find the area of an equilateral triangle of side $20 \text{cm}$ each.

The base of triangular field is three times its altitude. If the cost of sowing the field at $₹58$ per hectare is $₹783$, find the length of the base and height in metre.

Find the area of an isosceles triangle whose one of the equal sides measures $10 \text{cm}$ and the third side is $8\text{ cm}$.

Find the area of the triangle whose base is $24 \text{cm}$ and the corresponding height measures $14.5 \text{cm}$.

In the given figure, find the area of triangles.

In the given figure, find the area of triangles.

In the given figure, find the area of triangles.

In the given figure, find the area of triangles.

The area of the biggest possible circle that can be cut out of a square of side $14\text{ cm}$ is