zach3324
zach3324 zach3324
  • 23-04-2020
  • Mathematics
contestada

Find the exact length of the third side.

Find the exact length of the third side class=

Respuesta :

pandaeyes1021
pandaeyes1021 pandaeyes1021
  • 23-04-2020

Answer:

≈ 10

Step-by-step explanation:

You can use Pythagorean Theorem to solve this:

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

Plug in the numbers given:

[tex]2^{2} + b^{2} = 10^{2}[/tex]

4 + [tex]b^{2}[/tex] = 100

Subtract 4 from both sides:

4 + [tex]b^{2}[/tex] = 100

-4           -4

_________

[tex]b^{2}[/tex]  = 96

Square root both sides:

[tex]\sqrt{b^2} = \sqrt{96}[/tex]

b = 9.79

b ≈ 10

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