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What is the length of the hypotenuse triangle if both sides are 36

User Mikeb
by
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1 Answer

5 votes

Answer:


\boxed{ \bold{ \huge{ \boxed{ \sf{36 √(2) \: \: units}}}}}

Explanation:

Given,

Perpendicular ( P ) = 36

Base ( b ) = 36

Hypotenuse ( h ) = ?

Finding the hypotenuse :

Using the Pythagoras theorem :


\sf{ {h}^(2) = {p}^(2) + {b}^(2) }

plug the values


\sf{ {h}^(2) = {36}^(2) + {36}^(2) }

Evaluate the power


\sf{ {h}^(2) = 1296 + 1296}

Add the numbers


\sf{ {h}^(2) = 2592}

Squaring on both sides


\sf{h = 36 √(2) } units

Hope I helped!

Best regards!!

User Danirod
by
6.9k points