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. What is the length of the hypotenuse of 45°-45°-90° if the length of each leg is 5?​

Sagot :

In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2
call "n" the measure of one of the legs
n√2=5
n=5/√2
multiply both terms by √2
n=5√2/2, or...
n=2.5(1.4142136)
n=3.5355339 cm (round as needed)