Respuesta :

Answer:

The answer for the missing side length is 16

Step-by-step explanation:

You have to use Pythagorean's Theorem [tex]a^2 + b^2 = c^2[/tex]

[tex]c^2[/tex] is the hypotenuse, which is 20 in this case

[tex]a^2[/tex] is the bottom, which is 12

and you have to solve for [tex]b^2[/tex]

So

[tex]a^2 + b^2 = c^2[/tex]

[tex]12^2 + b^2 = 20^2[/tex]

[tex]b^2 = 20^2 - 12^2[/tex]

[tex]b^2 = 400 -144[/tex]

[tex]\sqrt{b^2} = \sqrt{256}[/tex]       This cancels out the exponent

[tex]b = 16[/tex]

That's the missing side length

JosieTheMathLover

Answer:

x=16

Step-by-step explanation:

Use Pythagoras's Therom.

a^2+b^2=c^2

Insert the values.

12^2+x^2=20^2

Now simplify.

144 + x^2 = 400

Isolate x by subtracting 144 from both sides.

x^2= 400-144= 256

Take the square root of both sides.

x=16

Hope this helps!

Otras preguntas