SOLUTION: The side of a rhombus is 10. One diagonal is 12. Find the other diagonal.

Question 135114: The side of a rhombus is 10. One diagonal is 12. Find the other diagonal.
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Diagonals of a rhombus are perpendicular. So the intersection of the two diagonals creates 4 right triangles inside a rhombus. see http://en.wikipedia.org/wiki/Rhombus for a picture.
Given that one diagonal is 12 and all four sides are 10. Then we know that the 4 interior triangles have sides 6,y,10
You can use Pythagorean theorem to solve for y, or you can notice that the ratio of the triangles is 6:y:10 which is a variant of 3:4:5 right triangle. So y = 8.
And the other diagonal is 8+8 = 16

RELATED QUESTIONS
One diagonal of a rhombus has the same length, 10cm, as each side. How long is the other... (answered by Edwin McCravy)

Find the length of a diagonal of a rhombus when the area is 48 and the other diagonal is... (answered by Edwin McCravy)

A diagonal of a rhombus is 20cm long.if its one side is 26cm long,find the length of its... (answered by fractalier)

One of the diagonal of a rhombus is equal to one of its side. Find the angles of the... (answered by ikleyn)

A rhombus has a side length equal to one of the diagonals.The other diagonal is 4c .Find... (answered by greenestamps)

So if a rhombus has a diagonal of 14 and 2x+7y-3, how would you find the perimeter? With... (answered by ikleyn)

The length of one diagonal of a rhombus is a geometric mean of the length of the other... (answered by Edwin McCravy)

The side of a rhombus is 10 cm and one of its diagonals is 12 cm. Find the perimeter and... (answered by KMST)

the shorter diagonal of rhombus is equal to one of its sides. (a) find each diagonal... (answered by venugopalramana)