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KiRa [710]
3 years ago
12

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

Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer:

<h3>\boxed{ \bold{ \huge{ \boxed{ \sf{36 \sqrt{2}  \:  \:  units}}}}}</h3>

Step-by-step explanation:

Given,

Perpendicular ( P ) = 36

Base ( b ) = 36

Hypotenuse ( h ) = ?

<u>Finding</u><u> </u><u>the </u><u>hypotenuse </u> :

<u>Using </u><u>the </u><u>Pythagoras </u><u>theorem</u><u> </u>:

\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 \sqrt{2} } units

Hope I helped!

Best regards!!

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