Question

State and prove Pythagoras theorem.

Answer 1

Answer:

Pythagoras' Theorem- In a right triangle the square of the hypotenuse is equals the sum of the squares of its remaining two sides.

Prove:

In a right triaangle ABC we have,

${c}^{2} = {a}^{2} \: + {b}^{2}$

${c}^{2} > {a}^{2} and \: {c}^{2} > {b}^{2}$

$c > a \: \: and \: c > b$

Thus, in a right triangle, the hypotenuse is greater than each of the remaining two sides.

Hence, in a right triangle, the hypotenuse is the longest side.

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Answer 2

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