Shough829
contestada

Which of the following sets could be the sides of a right triangle?
a. {2,3, sqrt of 13}
b. {2,2,4}
c. (1,2, sqrt of 3 wouldn't it be B because it has all even numbers?

Respuesta :

naǫ
In a right triangle the sum of the squares of the lengths of two shorter sides is equal to the square of the length of the longest side.

a.
[tex]2^2+3^2=(\sqrt{13})^2 \\ 4+9=13 \\ 13=13 \\ true[/tex]

b.
[tex]2^2+2^2=4^2 \\ 4+4=16 \\ 8=16 \\ not \ true[/tex]

c.
[tex]1^2+(\sqrt{3})^2=2^2 \\ 1+3=4 \\ 4=4 \\ true[/tex]

The answer is A and C.

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