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Q. Illustrate Pythagorean Theorem?
Ans.
You have definitely seen the Pythagorean Theorem before, so a2+ b2 = c2 should look familiar to you.
The Pythagorean Theorem applies to right triangles (and only right triangles), where c is the length of the hypotenuse (the side opposite the right angle) and a and b are the lengths of the legs (the other two sides).
So in the following triangle, the Pythagorean theorem states that x2 + y2 = 1
You can use the Pythagorean theorem in reverse to tell whether a triangle is a right triangle.
Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
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