Pythagorean theorem formula
Pythagorean theorem formula
Pythagorean theorem formula find the length of missing side...
Pythagoras' Theorem
Pythagoras
Over years ago there was an amazing discovery about triangles:
When a triangle has a right angle (90°)
and squares are made on each of the three sides,
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then the biggest square has the exact same area as the other two squares put together!
It is called "Pythagoras' Theorem" and can be written in one short equation:
a2 + b2 = c2
Note:
- c is the longest side of the triangle
- a and b are the other two sides
Definition
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.
Sure ?
Let's see if it really works using an example.
Example: A "3, 4, 5" triangle has a right angle in it.
Let's check if the areas are the same: 32 + 42 = 52 Calculating this becomes: 9 + 16 = 25 It works like Magic! |