A Side of an Isosceles Right Angled Triangle is X. Find Its Hypotenuse. - Geometry Mathematics 2

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Sum

A side of an isosceles right angled triangle is x. Find its hypotenuse. 

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Solution

It is given that, a side of an isosceles right-angled triangle is x.
Then, the other side of the triangle is also x.
According to Pythagoras theorem.

\[\left( \text{Hypotenuse} \right)^2 = x^2 + x ^2 \]

                          \[ = 2 x^2 \]

\[ \therefore \text{Hypotenuse} = x\sqrt{2}\]

Hence, its hypotenuse is x\[\sqrt{2}\]

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Chapter 2: Pythagoras Theorem - Problem Set 2 [Page 44]

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Balbharati Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board
Chapter 2 Pythagoras Theorem
Problem Set 2 | Q 2.5 | Page 44

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