iammunch iammunch
  • 02-05-2019
  • Mathematics
contestada

Find the length of the hypotenuse.

18

9√2

√18

18√2

Find the length of the hypotenuse 18 92 18 182 class=

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 26-05-2019

Answer:

18

Step-by-step explanation:

The hypotenuse is BC.

According to the Pythagorean Theorem;

[tex]BC^2=AC^2+AB^2[/tex]

Since the base angles are equal:

[tex]AC=BC=9\sqrt{2}[/tex]

We substitute the given values into the formula to obtain:

[tex]BC^2=AC^2+AB^2[/tex]

[tex]BC^2=(9\sqrt{2})^2+(9\sqrt{2})^2[/tex]

[tex]BC^2=81(2)+81(2)[/tex]

[tex]BC^2=162+162[/tex]

[tex]BC^2=324[/tex]

Take positive square root.

[tex]BC=\sqrt{324}[/tex]

[tex]BC=18[/tex]

Hence the hypotenuse is 18 units

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