how long in inches is the other diagonal?

Question

Each side of a rhombus measures 18 in. If one diagonal is 22 in. long, how long in inches is the other diagonal?

Answer 1

The diagonals of a rhombus bisect each other and meet at right angles.

They form right triangles, with hypotenuse of 18 and one leg equal to half one one diagonal = 22/2 = 11.

The other leg (x) is half of the other diagonal and can be found via the Pythagorean Theorem:

18^2 - 11^2 = x^2

x = 14.25

so the other diagonal is 14.25 * 2 = 28.5 inches