What is Pythagoras Theorem?
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The Pythagoras Theorem or the Pythagorean theorem, named after the Greek mathematician Pythagoras states that: ... If we let c be the length of the hypotenuse and a and b be the lengths of the other two sides, the theorem can be expressed as the equation: a 2 + b 2 = c 2 {\displaystyle a^{2}+b^{2}=c^{2}\,}.
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What is Pythagoras Theorem?
Pythagoras (Greek Mathematician, famous for worshipping numbers) discovered a mathematical theorem telling that in a right angled triangle, the hypotenuse² of the triangle is equal to the base² and altitude².
For Example:
(Diagram in attachment)
Base of the triangle is 4 c.m., altitude is 3 c.m., find the hypotenuse.
Answer:
We know,
c²=a²+b²
Let the hypotenuse be = x c.m.
Hence,
x²=4²+3²
=>16+9
=>25
Now,
x²=>25
=>√25=5.
Therefore, the hypotenuse is 5 c.m.
NOTE: This theorem only works in. right angled triangle. If you apply this in other triangle, your result will be wrong.
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