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Step-by-step explanation:
x= 13 cm [ as all side of rhombus are equal]
y= 12 cm [ diagonals bisect each other ]
z = 5 cm [ diagonals bisect each other]
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Question:-
In the given figure,ABCD is the rhombus.Find the value of x,y,z.
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Properties of Rhombus:-
- All sides of the rhombus are equal.
- The opposite sides of a rhombus are parallel.
- Opposite angles of a rhombus are equal.
- In a rhombus, diagonals bisect each other at right angles.
- Diagonals bisect the angles of a rhombus.
- The sum of two adjacent angles is equal to 180 degrees.
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Solution:-
Value of x=Value of BC=13cm
( Property 1:-All sides of the rhombus are equal.)
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Value of y=1/2 of AC=12
( Property 5:-Diagonals bisect the angles of a rhombus.)
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Value of z=1/2 of BD=5
( Property 5:-Diagonals bisect the angles of a rhombus.)
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