Respuesta :

ian2006huang

Answer:

Step-by-step explanation:

Use the distance formula between points to find all sides:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

AB=[tex]\sqrt{13}[/tex]

BC=[tex]\sqrt{13}[/tex]

CA=[tex]\sqrt{26}[/tex]

This is a 45° 45° 90° triangle, where two of the sides are equal and the other side is the first two sides times [tex]\sqrt{2}[/tex], so yes, it is a right triangle.

altavistard

Answer:

Answer D is correct.

Step-by-step explanation:

By inspection, the side lengths are {3, 4, 5}, and this triplet satisfies the Pythagorean Theorem:  3^2 + 4^2 = 5^2.  Thus this IS a right triangle.  

One could also find the lengths of the three sides using the distance formula and the endpoints of each line segment forming the triangle.

Answer D is correct.

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