Question

PLEASE HELP!
Determine if the triangle with the following vertices is a right triangle.
A(-3, 5), B(1, 4), and C(-1, 0).
tell whether or not the triangle is a right triangle. Explain how you arrived at your answer.

Answer 1

What are you stuck on?

Answer 2

start by plotting the points...

then decide which sides may intersect at right angles...

then find the slopes of the 2 sides to check.

remember the product of the slopes needs to be -1 for 2 lines to be perpendicular

Answer 3

I dont have any graph paper to plot it on

Answer 4

@campbell_st

Answer 5

ok... just sketch them



so it looks like AC and BC might be perpendicular.. so find the slopes and check

Answer 6

Reloading that posting.

Answer 7

Slope AB = -1/4
Slope BC = 2
So BC and AB are not perpindicular

Answer 8

So it isnt a right triangle correct?

Answer 9

Or to analyze it further
Line AB² = 4² +1²
Line AB² = 17
Line AB = 4.1231056256

Line BC² = 4² + 2²
Line BC² = 20
Line BC = 4.472135955

Line AC² = 5² + 2²
Line AC² = 29
Line AC = 5.3851648071

If AB and BC are perpendicular, then AB² + BC² must equal AC² but they don't.

Answer 10

Thank you!