Question

A rectangle has a diagonal of 2 and a length of 13. Find its width.

Answer 1

The width is
`√(-165)` or 12.8452326i units long.

Explanation:

Well the diagonal and length make a Pythagorean triangle with the width as a or b.

13²+b²=2²

169+b²=4

Subtract 169 from both sides.

b²=-165

Square root both sides

b=
`√(-165)`≈12.8452326i