Question

How to find the sides of a rectangle given the diagonal?

Answer 1

Step-by-step explanation:

A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.

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Answer 2

Given: The diagonal of a rectangle.

To find:  The sides of a rectangle.

Solution:

When a diagonal of a rectangle is drawn, two adjacent sides of the rectangle and the diagonal form a right-angled triangle. If there is a rectangle ABCD and a diagonal AC is drawn, then ABC forms a right-angled triangle. AB forms the perpendicular, BC forms the base and AC forms the hypotenuse.

Using the Pythagoras theorem, the value of the sides can be calculated using the following formula.

$AC = \sqrt{(AB)^{2} + (BC)^{2}}$

Here, AB is the width and BC is the length of the rectangle.

Therefore, the sides of a rectangle are found using √(l² + w²).