Deducing Area of Triangle

Q.

Find the area of triangle whose base is 8 cm and height of triangle is 12 cm.

1. $48c{m}^2$

2. $80c{m}^2$

3. $60c{m}^2$

4. $20c{m}^2$

Q.

A triangle and a parallelogram have the same base and are situated between the same parallels. The ratio of their areas is $?$

Q.

Find the missing values:

Base	Height	Area of triangle
$15cm$		$87c{m}^2$
$31.4mm$		$1256m{m}^2$
$22cm$		$170.5c{m}^2$

Q.

CD is the median of $\Delta$ABC. If height corresponding to AC in $\Delta$ADC is half of height corresponding to BD in $\Delta$BDC, then

1. $\Delta$BDC is an equilateral triangle

2. $\Delta$ABC is an isosceles triangle

3. $\Delta$ABC is an equilateral triangle

4. $\Delta$BDC is an isosceles triangle

Q.

A farmer was having a field in the form of a parallelogram $ \mathrm{PQRS}$. She took any point $ \mathrm{A}$ on $ \mathrm{RS}$ and joined it to points $ \mathrm{P}$ and $ \mathrm{Q}$. In how many parts the fields is divided? What are the shapes of these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately. How should she do it?

Q.

Here AB $\parallel$ CD. If the altitude of $△$ACD is 6 cm and CD is 8 cm then the area of $△$BCD is _____.

1. $14c{m}^2$

2. $24c{m}^2$

3. $44c{m}^2$

4. $34c{m}^2$

Q. The area of triangle is $45c{m}^2$ if the base is $6cm$ find the height of triangle .

Q.

Find the area of triangle whose base is 9 cm and height of triangle is 12 cm.

1. $60c{m}^2$

2. $48c{m}^2$

3. $20c{m}^2$

4. $54c{m}^2$

Q.

In the given figure, area of $△AED$ = _____ $\times$ area of parallelogram ABCD.

1. $1$

2. $\frac{1}{3}$

3. $\frac{1}{2}$

4. $\frac{1}{4}$

Q. A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitudes of the parallelogram is $150m$ find the altitude of the triangle.

Q.

The area of a rectangle can be expressed as the sum of area of two triangles. True or false?

1. True
2. False

Q.

Two triangles have equal area of $24c{m}^2$ and stand on the same base of 6 cm, if the distance PQ (on base) between their altitudes is equal to the length of one of the altitude. Then the area of quadrilateral formed by the altitudes and the base PQ is equal to:

1. $54c{m}^2$

2. $64c{m}^2$

3. $34c{m}^2$

4. $44c{m}^2$

Q. The base and height of Triangle are $5cm$ and $6cm$ respectively.Find the area

Q.

Find the area of figure given below (in sq. inches).

1. 64

2. 84

3. 96

4. 48

Q.

Find the area of triangle whose base is 10 cm and height of triangle is 12 cm.

1. $48c{m}^2$

2. $60c{m}^2$

3. $20c{m}^2$

4. $54c{m}^2$

Q. The area of triangle if the height is $35cm$ and base is $14cm$

Q.

In a given figure, BE is a median of $△ABD$. If the area of parallelogram ABCD is $24c{m}^2$. Then the area of $△ABE$ is:

1. $8c{m}^2$

2. $12c{m}^2$

3. $10c{m}^2$

4. $6c{m}^2$

Q. In the given figure, if the altitude and the base of parallelogram are 12 cm and 6 cm respectively, then the area of the triangle BEC is:

1. $26c{m}^2$
2. $46c{m}^2$
3. $36c{m}^2$
4. $56c{m}^2$

Q. Find the area of triangle if base is $5cm$ and Height is $4cm$

Q.

Here AB $\parallel$ CD. If the altitude of $△$ACD is 6 cm and CD is 8 cm then the area of $△$BCD is:

1. $14c{m}^2$
2. $44c{m}^2$
3. $34c{m}^2$
4. $24c{m}^2$

Q. Find the area of the polygon given in the figure:

Q. Find the base of a triangle whose area is $90{\text{cm}}^2$ and height $12$ cm

1. $15$ cm
2. $10$ cm
3. $18$ cm
4. $14$ cm

Q. The area of triangle is $24cm$ If the height is $12cm$ find its base

1. 8
2. 3
3. 2
4. 4

Q.

In parallelogram ABCD shown below, the vertical distance between the lines AD and BC is 5 cm and length of BC is 4 cm. P and Q are the midpoints of AB and AD respectively. Area of triangle AQP is ____.

1. Insufficient data
2. 1.25 $c{m}^2$
3. 2.5 $c{m}^2$
4. 5 $c{m}^2$

Q. If in any triangle the sides a, b, c are respectively 13, 14, 15, then $r_1$ = ...., $r_2$ = ...., $r_3$ = ....

Q. Match the following triangles with their respective areas.

1. 39 cm${}^2$
2. 63 cm${}^2$
3. 48 cm${}^2$

Q.

In a given figure, BE is a median of $△ABD$. If the area of parallelogram ABCD is $24c{m}^2$. Then find the area of $△ABE$

Q.

If two triangles have equal area and stand on the same base, then the altitudes of the triangle are equal.

1. True

2. False

Q.

The amount of surface enclosed by a closed figure is called its _____.

1. height

2. area

3. volume

4. perimeter

Q.

In the figure shown, dotted lines represent the heights to the corresponding bases BC, CA and AB respectively. Pick the figure which depicts the height incorrectly.

1. figure 2
2. All of them are incorrect.
3. figure 3
4. figure 1