# Area of Triangle

## Trending Questions

**Q.**

If the altitudes of a triangle are in A.P., then the sides of the triangle are in

**A.P****H.P****G.P****Arithmetico-geometric progression**

**Q.**

If an isosceles right - angled triangle has area 200cm2, then the measure of its hypotenuse is _______________ cm.

10√2

10

20√2

20

**Q.**

The area of a triangle is equal to 28 sq cm. If its base is 7 cm long, calculate the height of the triangle.

10cm

8cm

4cm

16cm

**Q.**

If perimeter of a figure increases, the area of the figure must increase. True/False

True

False

**Q.**

The area of a triangular shaped field is 24 square meter and it has a height of 6 m. Find the base length of the field.

24 m

4 m

6 m

8 m

**Q.**Find the area of a triangle whose base and corresponding height are 12 cm and 4.8 cm, respectively.

- 57.6 cm²
- 28.8 cm²
- 14.4 cm²
- 7.2 cm²

**Q.**

Find the height of a triangle given that it's area is equal to 36 cm2 and base is twice it's height.

- 12 cm
- 6 cm
- 18 cm
- 36 cm

**Q.**

An isosceles triangle has perimeter 36 cm If each of the equal sides is 10 cm, then the area of the triangle is _______________cm2

38

48

26

28

**Q.**

The area of the triangle shown in the figure given below is _____.

- 6 cm2
- 12 cm2
- 18 cm2
- 16 cm2

**Q.**If AB = BC and area of triangle BEC is 72 cm2. Find area of parallelogram if AC = 12 cm.

- 288cm2
- 144cm2
- 576cm2
- 216cm2

**Q.**If the area of a parallelogram of base 16m is equal to the area of a square of side 8m. What is the height of the parallelogram?

- 2m
- 4m
- 6m
- 8m

**Q.**

In the figure given, PR = 22 cm, SN = MQ = 3 cm. What is the area of PQRS?

- 63 cm2
- 60 cm2
- 66 cm2
- 46 cm2

**Q.**

In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Choose the correct option.

Only figures 2 and 3 are correct because height of a triangle always lies inside

Only figure 3 is incorrect because the height is not corresponding to the base it is kept on

Only figure 2 is correct because height of a triangle can’t lie outside

All of them are correct

**Q.**

The area of the obtuse angle triangle shown below is:

25 sq. units

17.5 sq. units

14 sq. units

15 sq. units

**Q.**

Find the area of card board required to make a closed box of length 25 cm, breadth 10.5 cm and height 15 cm.

**Q.**if circumference of the circle is 88cm , find the area of triangle ACB if height is equal to radius CD and base is equal to its diameter AB (use π = 227 )

- 196cm2
- 98cm2
- 49cm2
- 14cm2

**Q.**

Here, AB ∥ CD. If the altitude of △ACD is 6 cm and CD is 8 cm, then the area of △BCD is:___.

14 cm2

24 cm2

34 cm2

44 cm2

**Q.**

- 83.67 cm2
- 46.12 cm 2
- 77.15 cm2
- 69.69 cm2

**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.

20

30

60

40

**Q.**

Find the area of the rectangles whose two adjacent sides are $2mand90cm$

**Q.**The area of a triangle whose base is 80 cm and height is 60 cm is equal to

- 24 cm2
- 36 cm2
- 48 cm2
- 54 cm2

**Q.**

Aju starts from his home and walks x metres in north direction. After that he turns right and walks another x metres. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m^{2}. What is x?

6m

m

10m

7m

**Q.**Two triangles have equal area of 24cm2 and stand on the same base of 6 cm. If the distance PQ 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:___.

34 cm2

44 cm2

54 cm2

64 cm2

**Q.**

**In the Fig. **$O$** is any point inside a parallelogram **$ABCD$**. Prove that**

$ar(\u2206OAB)+ar(\u2206OCD)=\frac{1}{2}ar\left(\right||gmABCD)$

**Q.**

In the figure below, AB = 6 cm and AC = 8 cm. If D and E are the midpoints of AB and AC respectively, find the area of ΔADE (in cm2).

8

6

10

12

**Q.**Two figures having the same perimeter must have the same area.

- True
- False

**Q.**Find the area of parallelogram given in the below figure.

[2 Marks]

**Q.**Two sides of a triangle are 13 cm and 14 cm and its semi-perimeter is 18 cm. Then third side of the triangle is

- 11 cm
- 10 cm
- 9 cm
- 12 cm

**Q.**

Find the area of the parallelogram is its base is$12cm$ and height is $8.5cm.$

**Q.**

In the figure given, D divides the side BC, (BD:DC) of △ABC in the ratio 3:5. What is the area of △ABD in terms of area of △ABC?

25×ar(ΔABC)

35×ar(ΔABC)

29×ar(ΔABC)

38×ar(ΔABC)