Asked by Sara
Determine whether ∆QRS is a right triangle for the given vertices. Explain.
Q(18, 13), R(17, –3), S(–18, 12)
Q(18, 13), R(17, –3), S(–18, 12)
Answers
Answered by
Reiny
There must be a 90° angle, that is, two of the lines must be perpendicular, or
the slopes of two of the lines must be negative reciprocals of each other.
So ....
take the slope of the 3 lines and check for the above property.
A longer method would be to find the lengths of the 3 line segments, and check using Pythagoras.
the slopes of two of the lines must be negative reciprocals of each other.
So ....
take the slope of the 3 lines and check for the above property.
A longer method would be to find the lengths of the 3 line segments, and check using Pythagoras.
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