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
Algebra ->
Parallelograms
-> 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
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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
