MEDIUM

Earn 100

In Figure shown below, ABCD is a trapezium with $B C ∥ A D$ and $∠ B A D = 90 °$ . If the diagonals intersect at O, prove that area $(△ A B O) =$ area $(△ O C D)$ .

Important Questions on Area of Parallelogram and Triangles

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The area of a right angled triangle having base

24

cm

and hypotenuse

25

cm

is_____.

MEDIUM

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

In $△ A B C, A D$ is the median and $G$ is a point on $A D$ such that $A G : G D = 2 : 1$ . Then area $(△ B D G) :$ area $(△ A B C)$ is equal to:

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

Triangle PDC is drawn inside the square ABCD of side

24 cm

where P lies on AB. What is the area of the triangle?

MEDIUM

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

In a triangle, angles are in the ratio of

1 : 1 : 2

and the length of its longest side is

6 \sqrt{2} cm

, then what is the Area (in

{cm}^{2}

) of the triangle?

MEDIUM

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The length of each equal side of an isosceles triangle is

10 c m

and the included angle between those two sides is

45 ° .

Find the area of the triangle.

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The sides of an isosceles triangle are

10 cm

10 cm

and

12 cm

. What is the area of the triangle?

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The length of each equal side of an isosceles triangle is

15 cm

and the included angle between those two sides is

90 °

, Find the area of the triangle.

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The side of an equilateral triangle is

4 cm

. Wat is its area?

MEDIUM

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The three sides of a triangle are $15 c m, 36 c m, a n d 39 c m$ long. A small triangle is formed by joining the mid points of the three sides of this triangle. The area of small triangle will be_____ $c m^{2}$

HARD

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

What will be the area of triangle whose vertices are

(1, 2), (- 4, - 3)

and

(4, 1)

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The base and hypotenuse of a right-angled triangle are

9 cm and 41 cm

respectively. What is the area of the reiangle?

MEDIUM

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

Consider four triangles having sides

(5, 12, 9), (5, 12, 11), (5, 12, 13)

and

(5, 12, 15)

. Among these the triangle having maximum area has sides

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

If the height of an equilateral triangle is

20 \sqrt{2} cm

, then what is its area (in

{cm}^{2}

HARD

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

In a quadrilateral

A B C D,

it is given that

A B = A D = 13, B C = C D = 20, B D = 24 .

r

is the radius of the circle inscribable in the quadrilateral, then what is the integer closest to

r ?

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

The hypotenuse of a right-angled triangle is $39 cm$ and the difference of other two sides is $21 cm$ . Then, the area of the triangle is:

MEDIUM

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

a, b, c

are the sides of a

∆ A B C

and exradii

r_{1}, r_{2}, r_{3}

are respectively

12, 6, 4

then

a + 2 b + 3 c =

MEDIUM

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

What is the area of the triangle having sides

35 cm, 84 cm

and

91 cm

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

What is the area (in

c m^{2}

) of an equilateral triangle whose side is

12 c m

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides

5, 6, 8, 9, 12

in some order. The ratio of the area of the pentagon to the area of the rectangle is-

EASY

Mathematics>Geometry>Area of Parallelogram and Triangles>Parallelograms on the Same Base and between the Same Parallels

If the sides of triangle are

4, 5

and

6 cm

.

Then the area (in sq cm) of triangle is

In Figure shown below, ABCD is a trapezium withBC∥AD and ∠BAD=90°. If the diagonals intersect at O, prove that area △ABO=area △OCD.

Important Questions on Area of Parallelogram and Triangles

Learn and Prepare for any exam you want !

In Figure shown below, ABCD is a trapezium with $B C ∥ A D$ and $∠ B A D = 90 °$ . If the diagonals intersect at O, prove that area $(△ A B O) =$ area $(△ O C D)$ .