marcey2k16
marcey2k16 marcey2k16
  • 10-04-2018
  • Mathematics
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I need help on this question.

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iGreen
iGreen iGreen
  • 10-04-2018
This is a right triangle, so we can use the pythagorean theorem:

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

Where 'a' and 'b' are the two legs of the triangle and 'c' is the hypotenuse. Plug in what we know and solve for the missing side:

[tex]\sf 24^2+b^2=26^2[/tex]

Simplify:

[tex]\sf 576+b^2=676[/tex]

Subtract 576 to both sides:

[tex]\sf b^2=100[/tex]

Take the square root of both sides:

[tex]\boxed{\sf b=10}[/tex]

So BC is equal to 10.
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