name the quadrilateral whose diagonals are equal
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Answer:
square
Step-by-step explanation:
hope it's helpful to you
Answered by
1
Rectangle and Square
Step-by-step explanation:
A rectangle is quadrilateral with opposite sides equal and parallel to each other. each angle is a right angle.
Let's see,
In the figure ABCD is rectangle whose diagonals are divided into 4∆s viz.
∆ ABC,∆ ADC, ∆ ABC and ∆ CBD.
Since all the angle above are right angles.
So, AC²= AB²+BC² and,
BD²=CD²+BC².
But, AB= CD (opposite sides of the rectangle...)
AC²= BD²
AC= BD
So the diagonal of the rectangle are equal.
Again A Square is special rectangle whose all sides are equal to each other.
: diagonal of square are equal.
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