Hello There today we will solve your problem
Response-
ABC is absolutely a right triangle
we can use the pythagorean theorem to solve this
Definitions
Right Triangle - A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and other angles of the right triangle is the basis for trigonometry. The side opposite to the right angle is called the hypotenuse.
Pythagorean Theorem - In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
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To use to the Pythagorean Theorem it is
[tex]A^2+B^2=C^2[/tex]
For our equation [tex]A[/tex] would be [tex]12[/tex] [tex]B[/tex] would be [tex]5[/tex]
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Solve
[tex]12^2+5^2\\144+25\\169\\C^2=169\\C=13[/tex]
Since we got [tex]C=13[/tex] this is a right triangle since it's what we had before.
