How do you find the missing side of each right triangle. Side c is the hypotenuse and Sides a and b are the legs, a=11m, c=15m?

The missing side has a length of 10.2m rounded to the nearest 10th.

The Pythagorean Theorem states for a right triangle as given:
##a^2 + b^2 = c^2## where ##a## and ##b## are the sides and ##c## is the hypotenuse.
In this problem ##a## and ##c## have been provided so we can substitute for these and solve for ##b## while keeping the equation balanced:
##11^2 + b^2 = 15^2##
##121 + b^2 = 225##
##121 + b^2 – 121 = 225 – 121##
##b^2 = 104##
##sqrt(b^2) = sqrt(104)##
##b = 10.2## rounded to the nearest 10th.

Posted in Uncategorized

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>