2007-09-07 00:41:51 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
For a right angled triangle, the square of the hypotenuse is equal to the summation of the square of the other two sides.
Let, 'h' be the hypotenuse of a right angled triangle; 'a' and 'b' are the other two sides. So, from pythagorean theorem we get,
h^2 = a^2 + b^2
2007-09-10 22:20:07 · answer #1 · answered by defeNder 3 · 0⤊ 0⤋
In mathematics, the Pythagorean theorem (AmE) or Pythagoras' theorem (BrE) is a relation in Euclidean geometry among the three sides of a right triangle. The theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof,[1] although knowledge of the theorem almost certainly predates him. The theorem is known in mainland China as the "Gougu theorem" (å¾è¡å®ç) for the (3, 4, 5) triangle.
The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).The theorem is as follows:
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides other than the hypotenuse).
This is usually summarized as:
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
If we let c be the length of the hypotenuse and a and b be the lengths of the other two sides, the theorem can be expressed as the equation
or, solved for c:
2007-09-07 08:39:02 · answer #2 · answered by Mahesh 1 · 0⤊ 0⤋
It's actually called the Pythagorean Theorem. Check out this link for more info...
http://en.wikipedia.org/wiki/Pythagorean_theorem
2007-09-07 07:49:30 · answer #3 · answered by Hoosier Daddy 6 · 2⤊ 0⤋
a^2 + b^2 = c^2 where c is the hypotenuse while a and b are the legs of the right-angled triangle.
2007-09-07 07:56:36 · answer #4 · answered by s_sanjay9 5 · 1⤊ 1⤋
A squared + B squared= C squared
the three sides of a triangle
the two legs squared is equal in length to the hypotenuse squared
2007-09-07 07:49:42 · answer #5 · answered by Ravin 5 · 0⤊ 2⤋
"The square on the hypotenuse is equal to the sum of the squares of the other two sides"
It allows you to calculate the length of one side of a right-angled triangle, as long as you know the lengths of the other two sides.
2007-09-07 07:50:09 · answer #6 · answered by gribbling 7 · 2⤊ 0⤋
it is a way to calculate the length of a side of a right-angled triangle.
a^2 + b^2 = c^2
a and b are the sides that produce the right-angle.
c is the diagonal side ( the longest side )
2007-09-07 09:39:26 · answer #7 · answered by Jen 2 · 0⤊ 0⤋
A"2 * B"2 * hypotenuse largest side of triangle
2007-09-07 07:50:05 · answer #8 · answered by Zakov3rclocker 1 · 0⤊ 2⤋
a^2 + b^2 = c^2 and they represent the sides of a triangle
2007-09-07 07:58:48 · answer #9 · answered by Anonymous · 1⤊ 1⤋
"The squaw on the hippopotamus is equal to the sum of the squaws on the other two hides" ? No ?
2007-09-07 08:07:23 · answer #10 · answered by Beardo 7 · 0⤊ 0⤋