Which set of three numbers CAN BE used to create a right triangle?

a. 39, 45, 41
b. 39, 49, 59
c. 99, 69, 39
d. 89, 80, 39

Be sure to EXPLAIN your mathematical reasoning and justify your claim using the Pythagorean Theorem in 3-5 sentences.

its a trick question

step-by-step explanation:

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the answer is a if my teacher taught me correct

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus