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What is the difference in the distance formula and the Pythagorean theorem?
The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.
What was pythogoream theorem state?
It states that in a right triangle, the longest side of the triangle squared is equal to the sum of the remaining two sides squared. The formula used for this is a²+b²=c². C is always equal to the longest side of the triangle, while A and B are equal to the two shorter sides of the triangle.
What is the difference between an equilateral angle and an eqiangular angle?
By definition, both are the same. An equilangular triangle is a triangle with all three angles equivalent, while an equilateral triangle is a triangle with all three sides the same length. By geometric theorem, if all angles of a triangle are the same, then all sides are the same, and vice versa.
What does Pythagoras most famous proof state?
Pythagoras most famous proof is the pythagorean proof . It states that in a right angled triangle , the square of hypoteneus ( the longest side of the triangle ) is equal to the sum of squares of the other two sides .
What is the difference between a postulate and theorem in Geometry?
A postulate is assumed to be true while a theorem is proven to be true. The truth of a theorem will be based on postulates.
Can a corollary be solved with a theorem?
No. A corollary goes a little bit further than a theorem and, while most of the proof is based on the theorem, the extra bit needs additional proof.
Is a triangle and a square congruent?
No. A triangle has 3 sides while a square has 4.
Is Thevinin's theorem valid with the presence of dependent sources?
While some feel that Thevenin's (commonly misspelled as Thevinin's) Theorem is made invalid by dependent sources, rather than independent sources, most hold his theories valid. This is largely due to the superposition theorem, proven by combining Thevenin's theorem with Norton's.
What are the differences between an isosceles triangle and an equilateral triangle?
An isosceles triangle only has 2 equal sides while an equilateral triangle has 3equal sides
How many axes of symmetry does a triangle have?
A triangle, in general has none. An isosceles triangle has 1 axis of symmetry while an equilateral triangle has 3 axes.
How is an isosceles triangle different then an equilateral triangle?
A equilateral triangle has all equal sides, while an isosceles triangle only has 2 equal sides.
What is the history of the Pythagorean theorem?
While the theorem is attributed to Pythagoras, there is reason to believe it was known much earlier. For example, megalithic sites that predate Pythagoras seem to have applied this knowledge.
