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

Answer:

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

Step-by-step 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.

${a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {10}^{2} = {18.03}^{2} \\ {a}^{2} + 100 = 325.0809 \\ \frac{ - 100 = - 100}{ {a}^{2} = \sqrt{225.0809} } \\ a = 15.00$

Therefore, its 15 cm.