Question

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

Answer 1

`\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!!