PYTHAGORAS’ THEOREM Years ago, a man named Pythagoras found an amazing fact about triangles: If the triangle had a right angle (90°), and you made a square on each of the three sides, then the biggest square had the exact same area as the other two squares put together. It is called “Pythagoras’ Theorem” and can be written in one short equation: a^{2} + b^{2} = c^{2} Note:
The longest side of the triangle is called the “hypotenuse”, so the formal definition is: In a right angled triangle: the square of the hypotenuse is equal to the sum of the squares of the other two sides. Let’s see if it really works using an example. Example:A “3,4,5” triangle has a right angle in it.
If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!)
How Do I Use it?Write it down as an equation:
Now you can use algebra to find any missing value, as in the following examples: Example: Solve this triangle.
You can also read about Squares and Square Roots to find out why √169 = 13 Example: Solve this triangle.
Example: What is the diagonal distance across a square of size 1?
It works the other way around, too: when the three sides of a triangle make a^{2} + b^{2} = c^{2}, then the triangle is right angled. Example: Does this triangle have a Right Angle?
Example: Does an 8, 15, 16 triangle have a Right Angle?Does 8^{2} + 15^{2} = 16^{2 }?
So, NO, it does not have a Right Angle Example: Does this triangle have a Right Angle?

Tnx for tis example question….
u’re welcome🙂
umm…hii..do u know how to do the easiest formula?thanks
I still don’t understand
i like the example question .. but i’m low in mathemtics .. i think i can’t answer the simple question ..
i don’t know why i hate mathematics too much ..
please don’t hate this subject..math is fun..once you get the way to solve the question,you’ll know how much fun it is.🙂
i try to understand this formula..any other easy ways?
as far as i know, this is the only formula for pythagoras’ theorem..let me explain in a simpler way..hopefully i can help
first thing u need to know is this formula can be applied for right angled triangle only (has 90degree angle)
then u must know which one is the hypotenuse (the opposite side of the 90degree angle)..hypotenuse is the longest side
then apply the formula
a2 + b2 = c2
c is the hypotenuse, a and b is the other two sides
if the value of hypotenuse is given, and we want to find the value of either a or b, change the formula
c2 a2 = b2
or
c2 b2 = a2
but u must remember to get the final answer, find the square root.. i hope u know what is square root
i hope u understand my explanation..try the examples above🙂
anyone??