How do you use the Pythagorean Theorem to find the missing side of the triangl given: Side one: 7, Side two: 24, Side three: c?

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Answer 1 · 2016-07-02T03:42:37

Side c = 25

To solve this problem, we should use the Pythagorean Theorem:

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Based on the photo above, I'll just say that a=7 and b=24 so you can follow along.

Both of the legs (a and b) are known. We do not know c, but it can be found by plugging in our known values:

#7^2+24^2=c^2#

#7^2# or #7xx7# = 49
#24^2# or #24xx24# = 576

Thus, #49+576=c^2#. Now, add both numbers on the left side together and that will equal #c^2#
#625=c^2#

Take the square root of both sides to find c. The square root
(#sqrt#) is the inverse of the square (#c^2#)

#sqrt (625) = sqrt(c^2)#

Therefore, 25 = c