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in the right triangle below the length of ac is 30 . what is the length of ab ? in a 45-45 -90 triangle

 

 The triangle is a 45-45-90 triangle 

 Feb 7, 2019
 #1
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Where is "the right triangle below" ??.

 Feb 7, 2019
 #3
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I didnt know i could add photos before.

boominA  Feb 7, 2019
 #2
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I would assume ac is the hypotenuse , then ab would be one of the legs (both legs are the same length)

 

Pythagorean theorem says     leg1^2 + leg2^2  = hyp^2

      since  leg1 = leg2  this becomes

                2 (leg1)^2 = 30^2

                   (leg1)^2 = 450

                    leg1=ab = sqrt450=21.21 units

 Feb 7, 2019
 #4
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Yor assumption was correct with ac being the hypotenuse. 

 

 

Thank you.

boominA  Feb 7, 2019

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