SOLUTION: The perimeter of a rhombus is 60. If the length of its longer diagonal measures 24, what is the length of the shorter diagonal

Algebra ->  Length-and-distance -> SOLUTION: The perimeter of a rhombus is 60. If the length of its longer diagonal measures 24, what is the length of the shorter diagonal      Log On


   



Question 271751: The perimeter of a rhombus is 60. If the length of its longer diagonal measures 24, what is the length of the shorter diagonal
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonals of a rhombus cross each other at right angles creating 4 right triangles with hypotenuses of 15 and a side of 12.
a^2+b^2=c^2
144+b^2=225
b^2=81
b=9
b*2=18 the shorter diagonal.
.
Ed