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Does the Pythagorean theorem work with Euclidean and Hyperbolic geometry?
It works in Euclidean geometry, but not in hyperbolic.
Does the Pythagorean Theorem work on all triangles with side length of 1?
It doesn't matter on the side length, but it MUST have a right angle.
Why does Pythagoreans theorem work for right triangles?
Its a special relationship that was observed by Pythogorous. It just kind of works
What is the Pythagorean theorem?
It states that for any right angle triangle that its hypotenuse when squared is equal to the sum of its squared sides.
What is the length of the hypo tenuse of a right triangle with one leg measureing 9 inches and another measureing 12 inches?
Using Pythagoras' theorem it works out as 15 inches
Does the Pythagorean theorem always work?
No it never works.
Why does the Pythagorean theorem work?
The Pythagorean theorem works because it is derived from the principles of geometry and follows logically from the properties of right triangles. It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This relationship can be proven using algebra or geometric proofs.
Does the Pythagorean theorem work with Euclidean and Hyperbolic geometry?
It works in Euclidean geometry, but not in hyperbolic.
How do you solve a pythagorean theorem?
The formula is A2 + B2 = C2. This theorem only works for right triangles. A and B are the legs and C is the hypotenuse.
Does the Pythagorean Theorem work on all triangles?
No, the pythagorean theorem only works on right triangles, but it will work on any right triangle. This is because the Pythagorean Theorem states that length of Leg A squared plus the length of Leg B Squared equals the length of the hypotenuse squared. A hypotenuse is always found opposite a right angle. Only right triangles have right angles; therefore, the Pythagorean Theorem only applies to right triangles. :D
Is the pythagorean theorem true for an acute triangle?
No, the Pythagorean Theorem only works on right triangles. You could use the law of cosines, though: c^2=a^2+b^2-2ab*cos(C) Where C is the measure of the angle between sides a and b.
Pythagorean theorem what is the equation for 27 feet 36 cft?
If the sides of a right angle triangle are 27 ft and 36 ft then by using Pythagoras' theorem its hypotenuse works out as 45 ft
Who made up the pythagorean theorem?
Mathmaticaian Pthytaoras was the one who improved all the formulas and thoeries that Babylonians had developed centuries ago. Pythagorean theorem is basically one leg squared plus another leg squared equals to hypotenuse squared only works in right triangle though. and it expands to sin. cosin. and tangent...
Does the Pythagorean Theorem work on all triangles with side length of 1?
It doesn't matter on the side length, but it MUST have a right angle.
Can the Pythagoras theorem be proven emperically?
ANSWERYes The Pythagorean Theorem Can Be Proven Empirically.HOW?First, Lets Define The Theorem:In simplest terms, the Pythagorean Theorem is essentially a Formula that is TRUE for ANY/ALL RIGHT TRIANGLES (ANY Triangle that has ONE 90o ANGLE). The formula States: A2 + B2 = C2 , WHERE C is Always The Longest Side (Called The Hypotenuse) and is Always OPPOSITE the 90o Angle. A and B are The Other two sides of the triangle (not the Hypotenuse), the sides adjacent to the 90o Angle. To Prove The Pythagorean Theorem Empirically:First off lets define Empirically; all that it means, in this instance, is Show or Prove that the Theorem works through experience/experiment. This is very easy, just do the following: Using a protractor make a 90o AngleDraw 2 lines (Sides A & B) that make up the 90o Angle you measured out in Step 1Draw Side A - 5 cm in lengthDraw Side B - 8 cm in lengthDraw Side C - the Hypotenuse (A line that Connects Sides A and B) - But Do NOT Measure This with your ruler YET.Now since we need to PROVE that the Theorem is Correct, We have to Plug the length of the Sides A and B into the Theorem's Formula.52 + 82 = C2 (WHERE C2 is the Length of Side C/The Hypotenuse Squared)So Now we have the Equation: C2 = 25 + 64 = 89Now we need to Find what C equals, we do this by taking the Square Root of 89, and Since we know C is a Positive Number (Since its the Length of Side C), we can ignore the Negative portion of the Square Root and So We Know:C = 9.434 cmLAST STEP, NOW You MEASURE - with your Ruler, the Hypotenuse (Side C), and you will see that it equals 9.434 cm; therefore we have just Proved Empirically that the Pythagorean Theorem is Correct.
What is the distance between (2 -1) and (-1 -5) on the coordinate plane?
You can use the Pythagorean Theorem for this one. In other words, calculate square root of (difference-of-x-coordinates squared + difference-of-y-coordinates squared).
How can pythagorean triples help you solve a problem?
Beacause it works
