Question

A rectangle has a diagonal of 2 cm and a length of 3(square root). Find its width

Answer 1

1 cm

Explanation:

To answer this question we use Pythagoras theorem. This is a² + b² = c², where a is the length, b is the width and c is the hypotenuse (diagonal).

As we are already given the diagonal, we have to rearrange the formula to apply to our question...

• c² - a² = b²

Now solve...

• c = 2² = 4
• a = √3² = 3
• 4 - 3 = 1
• √1 = 1

This means that our width is 1!

Hope this helps, have a lovely day! :)