# SOLUTION: Ok I have a problem that deals with finding the the length of a hypotenuse with one if my legs being 3 radical 2. I know that the two legs are congruent because of it being an isos

Algebra ->  -> SOLUTION: Ok I have a problem that deals with finding the the length of a hypotenuse with one if my legs being 3 radical 2. I know that the two legs are congruent because of it being an isos      Log On

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 Click here to see ALL problems on Triangles Question 668691: Ok I have a problem that deals with finding the the length of a hypotenuse with one if my legs being 3 radical 2. I know that the two legs are congruent because of it being an isosceles right triangle. What would I show the hypotenuse as because it say that x: x: (x radical 2). How would I show it?Answer by swincher4391(733)   (Show Source): You can put this solution on YOUR website!If you have an isosceles right triangle, then your legs are equal, your hypotenuse is different. By our pythagorean theorem: a^2 + b^2 = c^2 but a =b so: a^2 + a^2 = c^2 2a^2 = c^2 2(3*sqrt(2))^2 = c^2 2 * 3^2 * sqrt(2)^2 = c^2 2* 9 * 2 = c^2 36 = c^2 <--- the form you mentioned