What is the length of an hypotenuse with legs of 7 cm and 24 cm?

1 Answer
Mr. Danger
Oct 23, 2016

If it's a right triangle, use the Pythagorean Theorem. Otherwise, someone else will have to answer. :/

Explanation:

The Pythagorean theorem states that #A^2 +B^2 =C^2# when A and B are the legs of a right triangle and C is the hypotenuse. Re-arranged to solve for the hypotenuse, it looks like this:

#C=sqrt(A^2 +B^2)#

Now we just plug in our values:

#C=sqrt(7^2 +24^2)#

Square the numbers first:

#C=sqrt(49+576)#

Add:

#C=sqrt(625)#

And finally, take the square root:

#C=25#

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