Pythagoras was a Greek mathematician who was born approximately 2700 years ago. He was responsible...
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Pythagoras
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Pythagoras was a Greek mathematicianwho was born approximately 2700 years ago. He was responsible for figuring out a lot of modern maths,especially geometry and trigonometry.
History
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Pythagoras is said to have come up with a rule to work out the sides of a right angled triangle.
Pythagoras’ Rule The rule only works for right angled triangles.
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The rule says that if you square (times by themselves) the two short sides of a triangle then add them together it will equal the square of the long side.
Short Long 1
Short 2
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c a
b
a2 + b2 = c2
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c a
b
short2 + short2 = long2
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1. Square both short sides2. Add the squares together3. Square-root your answer
To find the long side
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3 x
4
32 + 42 = x2
9 + 16 = 25a = √25 = 5
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short2 + short2 = long2
rearrange
short2 = long2 - short2
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1. Square the sides2. Subtract the short square from the long
square3. Square-root your answer
To find a short side
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a 20
16202 – 162 = a2
400 - 256 = 144a = √144 = 12
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Practice Questions
1.
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8
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Practice Questions
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7
x
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Practice Questions
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0.3
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x
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Practice Questions
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Practice Questions
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8x
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Practice Questions
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Practice Questions
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Practice Questions
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Practice Questions
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Practice Questions
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