1- triangle facts
The total of a triangle's interior angles is always 180o, regardless of how the triangle is created.
Any of a triangle's sides are shorter than the total of the other two sides.
No matter how a triangle is made, it can always be broken into two right triangles.
2- types of triangles
equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.
3- Pythagoras
Who- Pythagoras was a Greek mathematician and philosopher. He probably visited the philosophers Thales and Anaximander on the island of Miletus as part of his schooling when he was around 20 years old. Later, he established his renowned school in Croton, Italy.
When- Pythagoras lived between approx. 570 and ca. 490 BCE
Where-He grew up on the Greek island of Samos, off the coast of modern-day Turkey.
What- The square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides, according to a geometric theorem.
4- how does Pythagoras theorem work
Pythagoras' theorem states that "the square on the hypotenuse is equal to the sum of the squares on the other two sides" for all right-angled triangles. The hypotenuse is the longest side and usually runs in the opposite direction as the right angle.
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