
How do you prove that something is a Right Angle?
A question says:
Prove that ABC is a right angle.
What is the general way to prove such a thing?
Is there a formula you put your numbers in and it 'proves' that its a right angle?
Thank you!
You have a triangle, with sides A-B, B-C and C-A. If the sides are in the ratio 3:4:5 it is a right-angled triangle.
It is Pythagoras's Theorem, which says the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. 3:4:5 says exactly the same in English.
Generations of builders, carpenters, engineers etc. have established a right angle using that simple ratio with no knowledge of ancient Greek mathematicians . . .
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