Question

Triangle ABC has vertices located at A( 0, 2), B (2, 5), and C (−1, 7).

Part A: Find the length of each side of the triangle. Show your work.

Part B: Find the slope of each side of the triangle. Show your work.

Part C: Classify the triangle. Explain your reasoning.

Answer 1

for A. just use the distance formula

Answer 2

@Laylalyssa

Answer 3

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
@Laylalyssa
\(\color{#0cbb34}{\text{End of Quote}}\)
idk how to do this

Answer 4

@supie any idea ?

Answer 5

This should be simple:
We make them all right triangles. (View image)
Then we use Pythagorean Theorem to find the long side (a^2+b^2=c^2)
I say it's simple, but I would like someone to check my math on the image just to be safe

B: find the slope: Forgive me but I'm way too tired to get into this and I hate trig, so I'll link a video I found, explaining how to find the slope. (https://www.youtube.com/watch?v=_139xnriYPA)

C: Classify: I do believe this is a "isosceles" triangle, though you might want to check, as I'm about to pass out.

Answer 6

Note: The triangles I drew are all right triangles, I just forgot to draw the square