Question

If length of one side and one diagonal are given in any rectangle then rectangle can be constructed​

Answer 1

Can we construct a rectangle when one side and one diagonal is given?

Can we construct a rectangle when one side and one diagonal is given?Construct a rectangle when one diagonal and the angle between the two diagonals are given - example. When one diagonal AC = 6.4 cm and the angle between the two diagonals are given to be 60o. ... Then, ABCD is the required rectangle.

Answer 2

Step-by-step explanation:

Not only one but infinite number of rectangles can be drawn for given diagonal.

To visualise this, draw an origin centered circle of radius r.

Consider a point P on the circle having coordinates x and y.

Draw perpendicular from point P to the x and y axes.

x^2 + y^2 = r^2,

We have a rectangle with sides x and y and diagonal r ( extending from the origin to P)

Now move the point along the circumference of the circle. It will trace out infinite number of rectangles , with differing values for sides x and y , but the same radius r.

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