Mathematics

Question

The 45°- 45° - 90° Triangle Theorem states that the length of the hypotenuse is ________ times the length of one leg.



[tex] \sqrt{x} 3[/tex]

[tex] \sqrt{x} 2[/tex]

1/2

1

1 Answer

  •  This is an isosceles triangle. If each side is 1, we can find the hypotenuse using the Pythagorean theorem. 

    a^2 + b^2 = c^2 
    1^2 + 1^2 = c^2 
    1 + 1 = c^2 
    2 = c^2 
    root 2 = c 

    Thus, the answer is root 2.

    Hope this helps :)
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