SOLUTION: The length of the diagonals of a rhombus are 16cm and 12cm respectively. Find the length of each sides.

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Question 1085231: The length of the diagonals of a rhombus are 16cm and 12cm respectively. Find the length of each sides.
Answer by ikleyn(52781) About Me  (Show Source):
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In a rhombus, diagonals bisect each other and are perpendicular.


Therefore, the diagonals divide a rhombus in four congruent right-angled triangles.


Then the length of each side of the given rhombus is sqrt%28%2816%2F2%29%5E2%2B%2812%2F2%29%5E2%29 = sqrt%288%5E2+%2B+6%5E2%29 = sqrt%2864+%2B+36%29 = sqrt%28100%29 = 10 cm.

Solved.


On properties of rhombis see the lessons in this site
    - Diagonals of a rhombus are perpendicular
    - Diagonals of a rhombus bisect its angles
    - The length of diagonals of a rhombus
    - A circle inscribed in the rhombus
    - HOW TO solve problems on the rhombus sides and diagonals measures - Examples
    - The length of diagonals of a rhombus
    - PROPERTIES OF RHOMBIS

Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lessons are the part of this textbook under the topic "Properties of rhombis".