Herons Formula Test

Result

Herons Formula Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

If the height of a parallelogram having 500 cm² as area is 20 cm, then its base is of length

A
50 cm

B
15 cm

C
20 cm

D
25 cm

Solution

Area of parallelogram = Base x Height

=> 500 = Base x 20

=> Base = 25 cm
Question 2
1 / -0

Given the product of diagonals of a rhombus ABCD is 2500 cm², its area is

A
1250 cm²

B
1200 cm²

C
2000 cm²

D
625 cm²

Solution

Area of rhombus = 1/2 x Product of diagonals

= 1/2 x 2500

= 1250 sq. cm
Question 3
1 / -0

The area of a right angled triangle if the radius of its circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm.

A
8 cm²

B
3 cm²

C
4 cm²

D
6 cm²

Solution

Since in a right angles triangle, the circumcentre is the mid-point of hypotenuse, then

Hypotenuse = 2 x 3 = 6 cm

Now, Area of right angled triangle = 1/2 x Base x Altitude

= 1/2 x 6 x 2 = 6 sq. cm
Question 4
1 / -0

The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm is

A
96 cm²

B
48 cm²

C
36 cm²

D
192 cm²

Solution

Since in the quadrilateral ABCD, the diagonals are perpendicular.

Area of quadrilateral = 1/2 x Product of diagonals

= 1/2 x 12 x 8 = 48 sq. cm