Asked by Mike

Investigate if the triangle with the corners ABC is right-angled, when the corners are in the coordinates A (4, -4), B (11, -1) and C (9,3).

Does this mean simply plot it out on a graph paper and see? Or is there some sort of math towards doing this that doesn't require drawing it down.

Answers

Answered by A
Yeah, it means to plot the points and then say if it is a right-angled triangle.
Answered by Reiny
no, they want you to take the slope of the 3 lines.
If one slope is the opposite reciprocal of another, then those two lines are perpendicular.
I will assume you know how to take slopes.

Plotting will help, it could show where angles are obviously not equal to 90°,
but suppose the lines make an angle of 89°, this would be hard to judge.
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