SOLUTION: The diagnols of the rhombus shown below have the lengths of 14cm and 12cm. What is the length of a side of the rhombus? A. 3.6 B. 6.5 C. 9.2 D. 18.4

Question 133398: The diagnols of the rhombus shown below have the lengths of 14cm and 12cm. What is the length of a side of the rhombus?
A. 3.6
B. 6.5
C. 9.2
D. 18.4
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the diagonals of a rhombus are perpendicular; and, like all parallelograms, they bisect each other

this means that the side of the rhombus is the hypotenuse of a right triangle formed by half of each diagonal and the side

by Pythagoras __ s^2=(14/2)^2+(12/2)^2 __ s^2=7^2+6^2 __ s^2=49+36

C is looking pretty good
RELATED QUESTIONS
The diagnols of a rhombus are 16 and 24. Find the perimeter of... (answered by JBarnum)

The diagonals of a rhombus are 12cm and 9cm long.calculate the length of one side of the... (answered by MathLover1,addingup)

The diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters. What is the (answered by edjones)

Please help me with this one. The lengths of the diagnols of a rhombus are inthe ratio (answered by solver91311)

The lengths of the diagonals of a rhombus are 20 and 48 meters. What is the... (answered by ikleyn)

the diagonal of a rhombus measure 8cm and 6cm.what is the length of a side of the rhombus (answered by KMST)

If the lengths of semi- diagonal of a rhombus are 5 and 12, the length of the side of the (answered by Edwin McCravy)

A rhombus has side lengths of 25. What could be the lengths of the... (answered by ikleyn,Edwin McCravy)

a rhombus has sides of length 10 inches, and the lengths of its diagonals difference by 4 (answered by CharlesG2)