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Given a 45-45-90 degree triangle with a hypotenuse of 1, we can use the formula for the legs of a 45-45-90 triangle:
Leg = hypotenuse / β2
Substitute the given values:
Leg = 1 / β2
Leg = β2 / 2
Therefore, the legs of the 45-45-90 degree triangle with a hypotenuse of 1 are approximately 0.707 each.
Here is the diagram of the triangle:
/|
/ |
/ |
/ |
/ | 1
/_____|
1
Leg = β2 / 2