SOLUTION: In rhombus ABCD, AC=30 inches and BD = 40 inches. what is the perimeter the rhombus?

Algebra ->  Parallelograms -> SOLUTION: In rhombus ABCD, AC=30 inches and BD = 40 inches. what is the perimeter the rhombus?      Log On


   



Question 1074528: In rhombus ABCD, AC=30 inches and BD = 40 inches. what is the perimeter the rhombus?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonals of a rhombus are perpendicular and the sides are equal. The diagonals bisect each other.
Therefore, there are 15-20-x triangles where x is the side length and the hypotenuse.
15^2+20^2=x^2=625
x=25 inches. Perimeter is 100 inches (4*25)ANSWER
This is a 15-20-25 triangle, which is a multiple of 5 of a 3-4-5 triangle.