How do you use the Pythagorean theorem to find the hypotenuse if one leg is 34 and the other leg is 18?

1 Answer
Apr 25, 2017

Answer:

#c=38.47# to two decimal points.

Explanation:

The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Algebraically, it is #color(blue)(c^2=a^2+b^2#, where #c# is the hypotenuse and #a and b# are the other two sides.

Known
#a=18#
#b=34#

Unknown: #c#

Solution
Plug the known values for #a and b# into the equation.

#c^2=18^2+34^2#

Simplify.

#c^2=324+1156#

Simplify.

#c^2=1480#

Take the square root of both sides.

#sqrt(c^2)=sqrt1480#

#c=38.47# to two decimal points