Question

The lengthbof diagonals of a rhombus is 18 and 24 cm.then the sid eof the rhombus is

Answer 1

diagonal 1 = 18 cm

diagonal 2 = 24 cm

let us divide the diagonals into as the diagonals of a rhombus bisect each other.

diagonal 1 = 9 cm, 9 cm

diagonal 2 = 12 cm, 12 cm

through Pythagoras theorem, we can find the side of the rhombus ( hypotenuse )

h² = b² + p²

h = hypotenuse

b = base

p = perpendicular height

h² = b² + p²

h² = 12² + 9²

h² = 144 + 81

h² = 225

h = √225

h = 15

Therefore, the side of the rhombus is 15 cm.