Area of a Triangle

If the area of the $△XYZ$ is $28 m^2$ and base of the triangle $△PQR$ is $7 cm$ and height is $a cm$. Both the triangles are congruent. Find the value of $a.$

Which two triangles will have equal area.

If the height and base of the$△ABC$ is $10 \mathrm{cm}$ and $8 \mathrm{cm}$, then the area of $△EFG$ is _____ ${\mathrm{cm}}^2$

If the area of $KLM$ is $48 m^2$ then the area of $△XYZ$ is $38 m^2$.

What are congruent triangles?

The area of a triangle is $24 {\mathrm{cm}}^2$  and its height is $4 \mathrm{cm}$. Find its base.

If two surfaces have same areas then their shapes can be different.

The sum total area of the $4$ triangles in the polygonal field is

Look at the figure below.

Which of the following is equal to the sum of the areas of $△\mathrm{ABE}$ and $△\mathrm{ECD}$?

What is the total surface area of the $2$ triangular prisms that are formed by slicing the cube?

The area of each of the isosceles triangles formed in the pentagon outside the star is

What is the area of the triangle $DEF$?

What is the area of the hexagon when $D$ and $F$ are joined ?

Remember that the each side of the heptagon measures $12 \mathrm{cm}$.

A pair of bullocks can plough only a portion of a large field $A, B, C, D$, in a day.

The area of the field ploughed by the bullocks is _____ $\mathrm{sq} \mathrm{m}$.

Use the following information to calculate.

$F$ is at a distance of $30 \mathrm{m}$ from $A$ and $B$ the perpendicular distance from to $F$ is $30 \mathrm{m}$.

$E$ is at a distance of $10 \mathrm{m}$ from $D$ and the perpendicular distance from $C$ to E is $40 \mathrm{m}$.

The length of one side of the field $\left(AD\right)$ is $130 \mathrm{m}$.

In the given figure, CD is perpendicular to AC and ∆ABC is an equilateral triangle.

If the area of ∆ACD is 90 sq. m, then the area of ∆ABC is _____$\sqrt{3}$ sq. m.

The area of an equilateral triangle whose side measures 6$ \surd 3$ inches is _____$\sqrt{3}$ sq inch.

The circles shown in the figure are of the same radii $3.2 \mathrm{cm}$.

The area of the triangle formed in the figure is _____$\sqrt{3}$ ${\mathrm{cm}}^2$.

Preeti forms a quadrilateral PQRS by joining two triangular blocks as shown below. The sum of the areas of the two triangles is 192 $ {\text{cm}}^{2}$. She finds that the altitude of Δ$ \text{PSR}$ is 7 cm and PR = 24 cm. The altitude of Δ$ \text{PQR}$ is _____ cm.

The area of given quadrilateral ABCD is

Rita is lost in a maze and walks from points A -> B -> C -> A and then again from A->D-> E-> F -> A covering a total distance of 39 metres. The distance between points A and B is 5 metres. If points ABC form an equilateral triangle and ADEF form a square, the distance between points D and E is _____ metres.