Question

What the length of a rectangle's side (height) that is 10 cm wide and It's diagonal is 18.03 cm long?

Answer 1

The height of a rectangle's side is 15 cm tall.

Explanation:

You can use the pythagorean theorem to solve this.

The pythagorean theorem is:

`{a}^(2) + {b}^(2) = {c}^(2)`

The hypotenuse represents the c. One the diagram, the hypotenuse represents the diagonal. The letters a and b represents the sides (just not the diagonals).

Let's plug in.

`{a}^(2) + {b}^(2) = {c}^(2) \\ {a}^(2) + {10}^(2) = {18.03}^(2) \\ {a}^(2) + 100 = 325.0809 \\ \frac{ - 100 = - 100}{ {a}^(2) = √(225.0809) } \\ a = 15.00`

Therefore, its 15 cm.