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What is Pythagoras' theorem?

Updated: 4/28/2022
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Pythagoras' Theorem is a statement proving that in a right angled triangle the square of the longest side (the hypotenuse) equals the sum of the squares on the other two sides.

The formula for this is: A squared + B squared = C squared. C represents the hypotenuse on this formula, while A and B represent the other two perpendicular sides.

Exercise:Use squared paper & draw a triangle in the center of the page. Make the short sides of length 6 cm & 8 cm. Draw a square on each side. Measure the area of each square: hint 6 x 6 = 36 and so on. Having found the areas, add the areas of the squares on the two shorter sides. Compare your answer with the area of the square on the longest side. What do you notice? Repeat this for more triangles and see if you can see a pattern.

(The use of upper case for vertices and lower case for the actual sides of a triangle is prevalent. So we write triangle ABC having sides of length a, b, c.)

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