Ive struggled with the pythagoras theorem for a long time- can anyone help me please?

Question

Ive got to do a coursework peice on it soon and i am lost! i would much apperciate it if someone could help me!

Answer 1

Pythagoras Theorem asserts that for a right triangle with short sides of length a and b and long side of length c
a2 + b2 = c2

or c2-a2 = b2

here is a link with all the necessary thing you have to know about this theorem . I hope it helps , just read it carefully and everything is going to be fine :)

Answer 2

Pythagoras theorem is easiest to see on a 345 triangle when given 2 lengths of sides you can always work out the value of the 3rd side.

Eg : A triangle has sides 3cm (a) and 4cm(b) what is the length of the other side (c)

Pythagoras says (c) squared = (a) squared + (b) squared

You know that a is 3 and b is 4 so put this into the formula

c squared = (3) squared + (4) squared

c squared = 9 + 16 this gives the answer 25 which is c squared therefore c must be 5!!

Hope this helps my son has been struggling with this too!!

Good luck

Answer 3

Integer solutions to the equation are called Pythagorean Triples. (3, 4, 5) has been mentioned, Here are a few more:

(5, 12, 13) (25 + 144 = 169)
(8, 15, 17) (64 + 225 = 289)
(20, 21, 29) (400 + 441 = 841)
(7, 24, 25) (49 + 576 = 625)
(9, 40, 41) (81 + 1600 = 1681)
(12, 35, 37) (144 + 1225 = 1369)

Answer 4

It only works for RIGHT TRIANGLES

a^2 + b^2 = c^2

or

c = the square root of (a^2 + b^2)

c is the hypotenuse, which is the longest side of the triange.
a and b are just the other two sides in no particular order so..

for example a right triangle's dimensions are 5 feet by 4 feet by 3 feet so "c" = 5, "a" = 3, and "b" = 4
so:
3^2 + 4^2 = 5^2
9 +16 = 25
25 = 25

or:
5 = square root(3^2 + 4^2)
5 = square root(9 + 16)
5 = square root(25)
5 = 5

Works!!!

Answer 5

Pythagoras Theorem:
a^2 = b^2 + c^2

where b and c are at right angles (perpendicular) to each other and a is the hypotenuse (slanted side).

If you have to find one of the two perpendicular sides, just rearrange the formula.

e.g. a=5, b=3, c=?
5^2 = 3^2 + c^2
25 - 9 = c^2
16 = c^2
c = 4

Answer 6

A squared+ B squared= C squared----As written on the calculator(A^2+B^2=C^2)

A and B are the sides, which are shorter

C is the Hypontense and it is the longest of the three.

If both sides of the equation are equal then the triangle is a right angle. If C^2 is larger than it is a obtuse(large) triangle. If C^2 is smaller than it is an acute(smaller) triangle.

Answer 7

Many of the other users have given very good, detailed responses. However, do not listen to the girl who says you will never use the Pythagorean Theorem. It is very important and powerful. If anything, it will be on future standardized tests including the SAT, GRE, and GMAT. Besides that, it is at the core of advanced math and engineering-- simply understanding the Pythagorean theorm makes supposedly complex ideas, such as those about infinite dimensional spaces, very intuitive.

Answer 8

a^2 + b^2 = c^2

Answer 9

Its simple it states that in a right triangle (one with a 90 degree angle)the hypotnouse squared is equal to the sum of the squares of the other to sides . H^2=A^2+B^2.Whats the problem??

Answer 10

1. Any right angled Triangle --- ie. one angle must be 90 degress.
2. The hypoteneus - the longest side - opposite the right angle (90 deg.)
3.Square the lenght of the longest side ( eg. 5 x5 etc)
4.Add the sum of the squares of the remaining sides eg.
(3x3) + (4x4) = 9 + 16 -->> = 25
the square of the longest side >>> 5x5 = 25

using algebraic equations - you can find the lenght or angles of any sides.