How do you use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle: 3, 7, √50?

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How do you use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle: 3, 7, √50?

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Answer 1 · 2018-05-20T18:15:50

Well...

Pythagorean Theorem is that

For any right-angled triangle...

#a^2+b^2=c^2#

Where

#a# is base

#b# is perpendicular(I'm not sure if the name is correct)

#c# is hypotenuse.. the largest of them all

In this question.. the largest number is ofcourse #sqrt50# as #7^2=49# and #49<50#

So.. if those are right for a triangle... this should not be weird...

#3^2+7^2=sqrt50^2#

#9+49=50#

#58!=50#

So the triangle can't be made :(

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How do you use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle: 3, 7, √50?

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