Question

find the length of the side of rhombus if its diagonals are 12 cm and 5 cm

Answer 1

Let ABCD be the rhombus where AC = 10 cm and BD = 24 cm

Let AC and BD intersect each other at Now, diagonals of rhombus bisect each other at right angles. Thus, we have.

Since AOB is a right angled triangle, by pythagoras theorem, we have.

Hence, AB = 13. Thus, length of each side of rhombus is 13 cm.

Answer 2

Answer:

6.5 cm each.

Step-by-step explanation:

If the diagonals are 12 cm and 5cm then half of the diagonal is 6cm and 2.5 cm respectively.

Taking A qauarter of the rhombus i.e. a right angled triangle and using Pythagoras theorem.... x^2= 6^2 + 2.5^2

x^2= 36 + 6.25

x^2= 42.25

x = 6.5cm