What is the definition of "hypotenuse" and why it is important to Right Triangles. What Theorem has been beat into your head that uses it?
2007-03-02 02:13:57 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Hypotenuse = the side of a triangle opposite the right angle of a Right Triangle.
The Pythagorean Theorem (a² + b² = c², where a and b are side leg lengths and c is the hypotenuse length ) would be the one beaten into your head.
2007-03-02 02:19:07 · answer #1 · answered by MamaMia © 7 · 0⤊ 0⤋
A triangle has 3 sides right? A right-angled triangle has two of its sides at right angles to each other - like 'L'. The third side is the line that joins these two lines. This is called 'hypotenuse'.
Right angled triangles have the following property:
The square of the length of 'hypotenuse' is equal to the sum of the square of the length of other two sides.
Example:
If length of hypotenuse is 5 and length of other two sides are 3 and 4 respectively, then:
5*5 = 3*3 + 4*4
This is true always even if the length of the sides are not integers. So if you know the length of any two sides, it is easy to calculate the length of the third side.
This fact was found out by the mathematician 'Pythagoras'. So it is called 'Pythagoran theorem'.
There is an interesting sequal to this known as 'Fermat's last theorem'. There are interesting stories related to the life of Pythagoras and Fermat.
Visit the following links to know more.
2007-03-02 10:35:03 · answer #2 · answered by karu_malar 2 · 0⤊ 0⤋
Hypotenuse is the longest side of right angled triangle opposite to the opposite and adjacent line.
a^2= b^2 + c^2
it depend s on the one you take as a a, b or c but the hypotenuse should always be the fist before the equal to sign
2007-03-02 10:24:23 · answer #3 · answered by jay gal 3 · 0⤊ 0⤋
The side opposite to the 90 angle in a right angled triangle is the HYPOTENUSE.
Pythagoras Theorem
It says that the SQUARE of the HYPOTENUSE is equal to the SUM of the SQUARES of the OTHER two sides.
H^2 = A^2 + B^2
H= Hypotenuse
A,B = Other sides
2007-03-02 10:29:55 · answer #4 · answered by Harry Potter 3 · 0⤊ 0⤋
A hypotenuse is the longest side of a right triangle. It is opposite the right angle.
2007-03-02 10:24:25 · answer #5 · answered by Anonymous · 0⤊ 0⤋
hypotenuse is the distance between the starting & ending pts of two perpendicular lines which makes 90 degrees angle between them . it is important bcos it complete the triangle . the theorem that beat in mind is "Pythagorus theorem" which uses it.
2007-03-02 10:30:16 · answer #6 · answered by manish p 1 · 0⤊ 0⤋
the sum of the squares of the base and height of a right triangle is equals to the square of the hypotenuse of that right triangle .
to get the measure of any 1 of the side of that right triangle we uses it. it is known as Pythagoras theorum.
2007-03-02 10:25:53 · answer #7 · answered by PRATIBHA B 1 · 0⤊ 0⤋
Side opposite the 90 deg angle
Pythagorean theorum of course, C^2 = A^2 + B^2
2007-03-02 10:18:34 · answer #8 · answered by Jack 2 · 0⤊ 0⤋
The hypoteneuse is determined by Gaussian elimination and putting a matrix in reduced row echelon form. Afterwards, you find the normal subgroups of the group containing the set of invertible matrices and with multiplcation as the operator. Then you ahve sex with me for helping you with your homework.
2007-03-02 10:25:32 · answer #9 · answered by Anonymous · 0⤊ 0⤋