How do you find the hypotenuse if the length of the legs of a right triangle are 30 ft and 40 ft?

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Answer 1 · 2015-12-31T01:06:15

Use the Pythagorean Theorem, which relates the lengths of the sides in a right triangle.

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

Where #a,b# are legs and #c# is the hypotenuse.

#a=30#
#b=40#
#c=?#

Plug these values into the equation.

#30^2+40^2=c^2#

#900+1600=c^2#

#2500=c^2#

#sqrt2500=c#

#color(red)(c=50#

Note that this is a common right triangle pattern, where the side lengths are #3,4,5#. This time, all the sides are just #10# times larger.