16. Jill wants to build a planter box that is in the shape of a right triangle. The hypotenuse will
be 8 feet long. If the two sides of the triangle are to be the same length, how long should they
be? Round answer to nearest tenth of a foot.

Respuesta :

Answer:

4[tex]\sqrt{2}[/tex] is approx 5.7 feet

Step-by-step explanation:

let 'x' = length of leg

use pythagorean theorem to get:

x² + x² = 8²

2x² = 64

x² = 32

x = [tex]\sqrt{32}[/tex] = [tex]\sqrt{4}[/tex] · [tex]\sqrt{4}[/tex] · [tex]\sqrt{2}[/tex]

x = 4[tex]\sqrt{2}[/tex]