Question

if the diagonal of a rhombus is 20cm find its perimeter​

Answer 1

Step-by-step explanation:

Consider a rhombus ABCD in which the length of one diagonal AC=d1=8cm and the perimeter of the rhombus is 20cm. Let the side of the rhombus be a cm and the length of the other diagonal is d2. Formula of perimeter of rhombus is 4a where a is the side of rhombus. So, the side of the rhombus is 5cm.

Answer 2

Answer:

Rhombus has 4 sides equal

2 diagonals also same

With Pythagoras theorem:

(Diagonal)²=a²+a² (a is the side of rhombus)

20^2 = 2 * a^2

400 = 2 * a^2

Dividing Both side with 2

200 = a^2

Taking square root both side

a = √200

a = 10√2

Perimeter of the rhombus

Perimeter = 4*a

=>4*10√2

=>40√2 cm