Question

Need help asap 10 points, provide explanation please.

Answer 1

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.

Answer 2

Answer:

Step-by-step explanation:

Use the distance formula between points to find all sides:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

AB=$\sqrt{13}$

BC=$\sqrt{13}$

CA=$\sqrt{26}$

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