Area of an Acute Triangle

Q.
The area of the $△ABC$ as shown in the diagram above is.

1. $\frac{1}{2}\times a\times c$ sq. unit
2. $\frac{1}{2}\times (a+d)\times c$ sq. unit
3. $\frac{1}{2}\times b\times c$ sq. unit

Q. What is the area of the triangle, given each square on the grid represents $1$ unit${}^2$?

1. $12$ sq. units
2. $16$ sq. units
3. $20$ sq. units
4. $24$ sq. units

Q. Find the ratio of the area to the perimeter of an acute triangle as shown in figure.

1. $\frac{7}{9}$
2. $\frac{9}{7}$
3. $\frac{7}{9}$
4. $\frac{2}{3}$
5. $\frac{3}{2}$

Q. Find the height of an acute angle triangle of area 400 ${\text{m}}^2$, if the base of a triangle is 20 m.

1. 80 m
2. 10 m
3. 20 m
4. 40 m

Q.
The area of the $\Delta ABC$ equals .

1. $\frac{1}{2}\left(c\times d\right)\mathrm{sq}.\mathrm{units}$
2. $\frac{1}{2}\left(a\times d\right)\mathrm{sq}.\mathrm{units}$
3. $\frac{1}{2}\left(b\times d\right)\mathrm{sq}.\mathrm{units}$

Q. Find the area of an acute triangle of a given image.

1. $36{\text{m}}^2$
2. $36\text{m}$
3. $18{\text{m}}^2$
4. $48{\text{m}}^2$

Q. Find the height of an acute triangle if area of the triangle is $49{\text{unit}}^2$ and the base of this triangle is twice the height of the triangle.

1. 28 unit
2. 21 unit
3. 14 unit
4. 7 unit

Q.
For the diagram shown above, the area of $\Delta ABC=$

1. $40{\text{cm}}^2$
2. $80{\text{cm}}^2$
3. $20{\text{cm}}^2$

Q. The area of a triangle with a base of length $11$ units has an area of $55$ sq. units, then its height has a length of .

1. $10$ units
2. $5$ units
3. $11$ units

Q. What will be the area of the traingle as shown in figure?

1. $\frac{ab}{2}$
2. $\frac{ac}{2}$
3. $\frac{bc}{2}$
4. $ab$