Question

Area of _____ equals half the product of its diagonal.

A) Parallelogram B) Rectangle C) Kite D) Cyclic quadrilateral

Answer 1

ANSWER

•The area of a rhombus is half the product of its diagonals.

Here , option A is correct though.......

Answer 2

Area of Kite equals half the product of its diagonal.

Option C is correct.

Given that:

• Area of _____ equals half the product of its diagonal.

To find:

• Fill in the blank from the given options.

• A)Parallelogram
• B) Rectangle
• C) Kite
• D) Cyclic quadrilateral

Solution:

Area of kite$\bf= \frac{1}{2}d_1d_2$

where, d1 and d2 are diagonals of kite.

Thus,

we can say,

Area of Kite equals half the product of its diagonal.

Option C is correct.

Case 1:

Why not option A)Parallelogram

Because,

Area of Parallelogram=B×h

where, B= Base of Parallelogram

h= Perpendicular height

Case 2:

Why not option B) Rectangle

Because,

Area of rectangle=l×b

where, l= length of rectangle

b= breadth of rectangle

Case 3:

Why not option D) Cyclic quadrilateral

Because,

Area of Cyclic quadrilateral

$\bf= \sqrt{(s - a)(s - b)(s - c)(s - d)}$

where, s= semi perimeter of cycling quadrilateral

a,b,c, and d are sides of cyclic quadrilateral.

Thus,

Area of Kite equals half the product of its diagonal.

Option C is correct.

Learn more:

1) A parallelogram has an area of 150

. If the distance between its opposite sides are 15 cm and 25 cm. Find

the sides ...

https://brainly.in/question/31318395

2) The area of a rhombus is 360 cm2 and one of the diagonals is 18 cm. Find the other diagonal.

https://brainly.in/question/20797885

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