Problem 153 of 7
Use coordinates to prove segment ZW where W(3,1) is an altitude of triangle X=0, 0, Y=6, 2, Z=2, 4.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
show perpendicularity from vertex to opposite side.
Hidden until you reveal it.
Segment must pass through a vertex and be perpendicular to the opposite side or its extension.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the side opposite the vertex.
2. Compute slopes of the candidate altitude and opposite side.
3. Show the slopes are negative reciprocals or horizontal/vertical, then conclude altitude.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Proving the segment hits the side without proving perpendicularity.