Respuesta :

Answer:

b= 8.9 or 9

Step-by-step explanation:

In order to find the length of this side, we need to use the pythagorean theorem. That is, [tex]a^{2} +b^{2} =c^{2}[/tex].

Step 1- Substitute the equation with the given lengths.

a^2+8^2= 12^2

Step 2- Multiply to simplify.

a^2+64= 144

Step 3- Subtract 64 to both sides.

a^2+64= 144

      -64   -64

a^2= 80

Step 4- Find the square root.

[tex]\sqrt{a^{2}[/tex][tex]=\sqrt{80 }[/tex]

a= 8.94427191

a≈ 8.9 or 9

Hope this helps! :)

Answer:

4√5 ft.

Step-by-step explanation:

Using pythagoras theorem:

let a represent how high is the ladder from the house.

a^2 = 12^2 - 8^2

a^2 = 144 - 64

a^2 = 80

a = √80

a = 4√5 ft.

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