Question

If DB = 18cm and AC = 24cm, Use the properties of rhombus to find the length of one side of the rhombus please helppp!!!!

Answer 1

15 cm

Explanation:

You need to remember 2 theorems about a rhombus.

1. The diagonals of a rhombus bisect each other

2. The diagonals of a rhombus are perpendicular to each other

In other words, the diagonals of a rhombus are perpendicular bisectors.

BE = 9 and AE = 12

ΔAEB is a right triangle. So, the Pythagorean theorem says

`9^(2) + 12^(2) = AB^(2)`

`AB^(2)` = 81 + 144

= 225

AB =
`√(225) = 15` cm