Take two identical set squares with angles 30-60-90 degree and place them adjacently to form a parallelogram as shown in fig.3.20.does thishelp you to verify the above property
Answers
Given : Two identical set squares with angles 30-60-90 degree Placed adjacently to form a parallelogram
To find : Verify the property of Parallelogram that opposite sides are equal in length
Solution:
Two identical set squares with angles 30-60-90 degree
Placed adjacently to form a parallelogram
Lets First Verify is this a parallelogram
two opposite angles = 90°
two opposite angles = 30° + 60° = 60° + 30° = 90°
so two adjacent angles are 90° & 90°
Sum of Adjacent angles = 90° + 90° = 180°
opposite angles = 90°
Hence its a parallelogram
Now Set square are identical
Hence opposite sides are equal
So property of parallelogram is verified
that opposite sides of a parallelogram are equal
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