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how to get 14 as the hypotenuese in a right 45-45-90?

 Apr 12, 2016
 #1
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lengths of other two sides are equal.If lengths are   x  and x again,then x^2 plus x^2 -14

so 2 x^2=14        

x^2       =7

x           =sqrt 7

 Apr 12, 2016
 #2
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Two sides are the same as the triangle is an isosceles triangle.

By Pythagoras' theorem,

\(x^2+x^2=14^2\)

\(2x^2=196\)

\(x^2=98\)

\(x=\sqrt{98}=7\sqrt{2}\)

When the length of the other two sides is \(7\sqrt{2}\)

The length of the hypotenuse is 14

 Apr 12, 2016

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