SOLUTION: In the figures diagonals AC and BC of a rombous ABCD intersect at O. If AC=16cm, BC= 12cm. Find the length of its side

Question 1107942: In the figures diagonals AC and BC of a rombous ABCD intersect at O. If AC=16cm, BC= 12cm. Find the length of its side

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
I'm not sure I understand the sides that are described. Diagonals of a rhombus divide it into 4 congruent right triangles where the sides (all equal) are the hypotenuse of the triangle.
The diagonals intersect at O, the center. That means each of the two sides of a right triangle is 6 and 8, half the length of the diagonal. That would make the hypotenuse 10, twice a 3-4-5 right triangle.
If I understand the question properly, the sides of this rhombus are 10. I understand the intersection at O, but I am not clear on AC and BC, only that the diagonals of a non-square rhombus are not equal.
Answer by ikleyn(52898)   (Show Source): You can put this solution on YOUR website!
.

the length of the side = = = = 10 centimeters.

Since the diagonals of any rhombus bisect each other and are perpendicular.

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See the lessons on rhombis 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".

Save the link to this online textbook together with its description

Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson

to your archive and use it when it is needed.

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Notation of sides of the rhombus in your post is INCORRECT !

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