Is it given that two lines are perpendicular if a right angle is shown?
dekkyrkex4
Answered question
2022-09-06
If I have a diagram, like the following:
Answer & Explanation
Brendan Bradley
Beginner2022-09-07Added 11 answers
So, If the right angle (the rectangle in yellow) is given. I think is okay to say that . Now, you say that then iff by using the perpendicular bisector theorem.
Even though this is fine, I think this is overkilling since it feels that the thing you want to prove follows trivially from this theorem.
Step 2
Another way to prove this is by using Pythagorean theorem. and DC2+AD2=AC2. If you substract these two equalities, you get . So, iff .
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