dwelcome155
dwelcome155 dwelcome155
  • 18-06-2019
  • Mathematics
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What is the length of the unknown leg in the right triangle ?

What is the length of the unknown leg in the right triangle class=

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JeanaShupp
JeanaShupp JeanaShupp
  • 03-07-2019

Answer: [tex]\sqrt{32}\text{ mi}[/tex]

Step-by-step explanation:

The Pythagoras theorem of right triangle says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

From the given figure , the hypotenuse of the right triangle = [tex]\sqrt{113}\text{ mi}[/tex]

Then According to Pythagoras theorem , we have

[tex](\sqrt{113})^2=x^2+(9)^2\\\\\Rightarrow\ x^2=113-81\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}\text{ mi}[/tex]

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