The diagonals of a rhombus bisect each other at right angles.
Let the intersecting point be O.
So, we get right angled triangles.
We know that the Pythagoras Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let us consider ΔAOB.
By Pythagoras Theorem,
AB2 = AO2 + OB2
AB2 = 122 + 52
AB2 = 144 + 25
AB2 = 169
AB = 13cm
The length of side of the rhombus is 13cm.
Rate this question :