deviinxx7
deviinxx7 deviinxx7
  • 27-12-2019
  • Mathematics
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A diagonal of a square mirror is 10 inches long. What is the length in inches of each side of the mirror

A diagonal of a square mirror is 10 inches long What is the length in inches of each side of the mirror class=

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Luv2Teach
Luv2Teach Luv2Teach
  • 27-12-2019

Answer:

Step-by-step explanation:

a square has sides that are all the same length.  That means that if we have a diagonal of a square that measures 10, using Pythagorean's Theorem,

[tex]x^2+x^2=10^2[/tex] and

[tex]2x^2=100[/tex] and

[tex]x^2=50[/tex] so

[tex]x=\sqrt{50}=\sqrt{25*2}=5\sqrt{2}[/tex]

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