Question

The length of a side and a diagonal of a rhombus are 5cm and 8cm respectively. Find the area of the rhombus?

Answer 1

In a rhombus, the diagonals are perpendicular bisectors.

Answer 2

As we know that the halves of diagonals and a side of a rhombus from a right angled triangle with side as hypotenuse.

Let the length of the other diagonal =2x.

⇒x^2+(8/2)2= 52

⇒x^2+16=25

⇒x^2=25-16

⇒x^2=9

⇒x=3

The measure of the another diagonal of the rhombus = 2×3 = 6 cm

∴Area of the rhombus = (1/2)×Diagonal of a rhombus×Measure of the another diagonal

⇒Area of the rhombus = (1/2) ×8×6=24 cm^2

Answer 3

Did i do the sum correct or not.

Answer 4

Be careful how you write in your equations... you have 5^2 written as 52, and (8/2)^2 written as (8/2)2.

But yes, your working looks correct.

Answer 5

yup..u r write...