What is the length of each leg of the triangle below ?

This triangle is a special kind of isosceles triangle - it is a 45-45-90 triangle. Like other isosceles triangles, the legs of 45-45-90 triangles are congruent. However, a special property specific to 45-45-90 triangles is that their hypotenuse is equal to the product of the leg length and the square root of two.

    Hyp. = leg(√2)

The hypotenuse is given for this problem, so we can plug it into the formula above to find the leg length.

                        26 = x(√2)
                 26/(√2) = x
    26(√2)/(√2)(√2) = x
               26(√2)/2 = x
                  13(√2) = x

E. 13√2

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