Using Pythagoras Theorem, the third side of a right-angled triangle can be calculated when two sides are given.
Suppose A = length of hypotenuse and
B & C = lengths of the sides containing the right angle
Then (A^2) = (B^2)+(C^2)
Proof:
If a = angle opposite side A ( =90 degrees)
b = angle opposite side B
c = angle opposite side C
then B = A sin a and C = A cos a
Squaring and adding,we get the result.
Suppose A = length of hypotenuse and
B & C = lengths of the sides containing the right angle
Then (A^2) = (B^2)+(C^2)
Proof:
If a = angle opposite side A ( =90 degrees)
b = angle opposite side B
c = angle opposite side C
then B = A sin a and C = A cos a
Squaring and adding,we get the result.
by Jai Shri Ram May 20, 2005
Simply put, in a triangle, the square of the hypoteneuse is equal to the sum of the squares of the other two sides. Simple as that.
the pythagorean theorem, in a simple mathematical formula, is: a² = b² + c²
where a is the hypoteneuse and b & c are the other two sides
pythagoras theorem
where a is the hypoteneuse and b & c are the other two sides
pythagoras theorem
by DannoMack April 12, 2006
i can't believe we have a test on pythagoras theorem. its not like we will ever use it later on in life
by Christopher Mckay February 22, 2006
An often used and renowned theorem by Pythagoras in the field of geometry and mathematics. It states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side of the triangle and also the side opposite the right angle) is equal to the sum of the squares of the other two sides.
It is commonly written as a^2+b^2=c^2, where c denotes the length of the hypotenuse, and a and b denote the lengths of the other two sides.
It is commonly written as a^2+b^2=c^2, where c denotes the length of the hypotenuse, and a and b denote the lengths of the other two sides.
Pythagoras' Theorem is often used to calculate the length of any one side of a right-angled triangle when given the lengths of the other two sides.
by UserOfNework December 19, 2022