Area of Triangles

Q. If the base of a triangle is 8 cm and height is 4 cm, what is its area?

1. $12c{m}^2$
2. $16c{m}^2$
3. $32c{m}^2$
4. $4c{m}^2$

Q. The area of a right angled triangle is 6 sq cm. if its base measures 4 cm and it's hypotenuse measures 5 cm, find its perimeter

Q. The base and height of a triangle are in the ratio 3:4 and its area is 96 sq cm . Find its base and height .

Q. What is the area of an isosceles right angled triangle of equal sides 16 cm each?

1. 128 $c{m}^2$
2. 164 $c{m}^2$
3. 172 $c{m}^2$
4. 184 $c{m}^2$

Q.

The area of a right triangular region is 129.5 cm² . If one of the sides containing the right angle is 14.8 cm . find the other one

Q. The base and height of a triangle are in the ratio 4 : 5 and its area is 160 m². What is the height of the triangle?

1. 10 m
2. 20 m
3. 15 m
4. 25 m

Q.

One side of a right angled triangle scarf is 80 cm and its longest side is 1 m find its cost at the rate of rupees 250 per metre square.

Q.

Triangle ABC is congruent to Triangle PQR, if area of triangle ABC is 42 square unit, then area of the triangle PQR is

1. 21 square units

2. 42 square units

3. 84 square units

4. 24 square units

Q. If the area of a triangle is $24c{m}^2$ and its base is 3 times that of height ($h$), then $h$ =

1. 4 $cm$
2. 8 $cm$
3. 12 $cm$
4. 16 $cm$

Q. Two roads each 3 m wide, run at right angles through the middle of a rectangular park,
such that each is parallel to one of the sides of a park. If the park is 70 m by 45 m, find the area of the
portion of the park minus the path.

Q. In the following figure ABC is right angled at A.AP is perpendicular to BC.if AB=3cm, BC= 5cm &AC=4cm find the area of ∆ABC.Also find the length of AD

Q.

Find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm.

1. 44 cm²

2. 54 cm²

3. 64 cm²

4. 74 cm²

Q. If the area of a triangle is $294c{m}^2$ and its base ($b$) is 3 times that of height ($h$), then find the value of $h$ and $b$.

Q.

The base and hieght of a triangle are in the ratio of 3:2 and its area is 108 cm square. Find iys base and hieght

Q. It is not possible to construct a triangle when its sides are :

1. 8.3 cm, 3.4 cm, 6.1 cm
2. 6 cm, 7 cm, 10 cm
3. 3 cm, 5 cm, 5 cm
4. 5.4 cm, 2.3 cm, 3.1 cm

Q. The base and height of a triangle are in the ratio 3:4 and it's area is 96sq.cm . Find it's base and height.

Q. Find the area of a triangle whose base is 4 cm and corresponding height is 12 cm long.

1. $18c{m}^2$
2. $24c{m}^2$
3. $12c{m}^2$
4. $9c{m}^2$

Q.

In the given figure, $\angle ABC={90}^{\circ }$ and $M$ is the mid-point of $AC$, $AB=8\text{cm}$ and $BC=6\text{cm}$. Then, choose the correct option(s).

1. 3 cm

2. 4 cm

3. 5 cm

4. 7 cm

Q. If the volume of the given prism is $684$ cubic centimeters, what will its length be ?

1. $32cm$
2. $30cm$
3. $28cm$
4. $35cm$

Q. If the sides that form the right angle of a triangle are 5.5 cm and 6.2 cm long, find the area of the triangle.

1. 34.1 sqcm
2. 17.05 sqcm
3. 11.7 sqcm
4. 12.7 sqcm

Q. Find the area of the following triangle:

1. 
   $86c{m}^2$
2. 
   $84c{m}^2$
3. 
   $82c{m}^2$
4. 
   $80c{m}^2$

Q. If the area of a triangle is $294c{m}^2$ and its base ($b$) is 3 times that of height ($h$), then find the value of $h$ and $b$.

Q. The base and height of a triangle are in the ratio 3:4 and it's area is 96sq.cm . Find it's base and height.

Q. What is the area of an isosceles right angled triangle of equal sides 16 cm each?

1. 128 $c{m}^2$
2. 164 $c{m}^2$
3. 172 $c{m}^2$
4. 184 $c{m}^2$

Q. There base of atriangle field is three times its height

Q. The length of the sides forming a right angle of a right-angled triangle is $5x$ cm and $(3x-1)$ cm. If the area of the triangle is $60{cm}^2$, find its hypotenuse.

Q.

What is the area of a right triangle that has a height of 3 inches and a hypotenuse of 5 inches?

1. 24 Square Inches

2. 60 Square Inches

3. 48 Square Inches

4. 30 Square Inches

Q. Is it possible to have a triangle with the following sides?
$1$cm, $3$cm, $5$cm.

Q.

The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the rate of ₹20 per square meter is ₹9600, then the height of the field is ___ m.

1. 48

2. 20

3. 30

4. 50

Q. The area of the obtuse angle triangle shown below is:

1. 17.5 sq. units
2. 25 sq. units
3. 14 sq. units
4. 15 sq. units