Respuesta :

Answer:

Neither triangle

Step-by-step explanation:

Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).

Both triangles are good examples of common Pythagorean triples.

The Pythagorean theorem states that for any right triangle, the following is true:

[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Using this theorem we can solve for the hypotenuse of both triangles:

Triangle 1:

[tex]3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}[/tex]

Triangle 2:

[tex]0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}[/tex]

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