Diagonals of a Rhombus
How to solve the diagonals of a rhombus problems: property, example, and its solution.
A rhombus is a parallelogram
whose sides are all congruent.
So a rhombus has all the properties of a parallelogram.
The diagonals of a rhombus
perpendicularly bisect each other.
Recall that the diagonals of a parallelogram
just bisect each other.
(not perpendicularly bisecting each other.)
The sides of a diagonal are all congruent.
So AD = BC = 5.
Its hypotenuse is 5.
And its leg is 3.
So it's a (3, 4, 5) triangle.
So PB = 4.
BD is perpendicularly bisected by AC.
So DP = PB = 4.
And BD = 4 + 4.