1. Triangle Facts?
- The sum of all the internal angles of a triangle is always 180o no matter how the triangle is constructed.
- The length of any sides of the triangle is shorter than the sum of the other two sides.
- A triangle can always be split into two right triangles no matter how the triangle is constructed.
- A triangle is polygon with three edges and three vertices. it is one of the basic shapes in geometry. A triangle with a vertices A,B, and C
2. Types of Triangles?
The sum of angles is any triangle is 180
The equilateral triangle has three equal sides and angles
An isosceles triangle can be drawn in many different ways
A right-angled triangle has one 90 angle

3. Pythagoras? who, when, what, where
Who invented Pythagoras
- Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid's Elements. According to the Syrian historian Iamblichus (c. 250–330 ce), Pythagoras was introduced to mathematics by Thales of Miletus and his pupil Anaximander.
What did Pythagoras invent?
- He is mainly remembered for what has become known as Pythagoras' Theorem (or the Pythagorean Theorem): that, for any right-angled triangle, the square of the length of the hypotenuse (the longest side, opposite the right angle) is equal to the sum of the square of the other two sides (or “legs”).
Where Pythagoras is used
- The Pythagorean is used to calculate the steepness of slopes of hills or mountains.
When was Pythagoras discovered
- was first known in ancient Babylon and Egypt (beginning about 1900 B.C.). The relationship was shown on a 4000 year old Babylonian tablet now known as Plimpton 322. However, the relationship was not widely publicized until Pythagoras stated it explicitly.
Theorem
How does it work
theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. The hypotenuse is the longest side and it's always opposite the right angle.
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