joslyn17 joslyn17
  • 20-11-2020
  • Mathematics
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth

For the following right triangle find the side length x Round your answer to the nearest hundredth class=

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zachrteyeet
zachrteyeet zachrteyeet
  • 20-11-2020

Answer:

10.72 (in whatever unit your using)

Step-by-step explanation:

You have the hypotenuse and a side given to you. Here, the Pythagorean Theorem can be used.

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

Manipulate the formula for answering side X

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

Fill in the unknowns

[tex]14^{2} -9^{2} =x^{2}[/tex]

[tex]196-81=x^{2}[/tex]

[tex]115=x^{2}[/tex]

[tex]\sqrt{115}=\sqrt{x^{2}}[/tex]

[tex]10.7238053...=x[/tex]

Round

[tex]10.72=x[/tex]

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