Question

Need help asap 10 points, provide explanation please.

Answer 1

Answer D is correct.

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

Explanation:

Use the distance formula between points to find all sides:

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

AB=
`√(13)`

BC=
`√(13)`

CA=
`√(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
`√(2)`, so yes, it is a right triangle.