Answer:
68 ft
Step-by-step explanation:
to find the length of the missing side we can use the Pythagorean Theorem which is a² + b² = c², where <em>a</em> and <em>b</em> are sides (legs) of the triangle and <em>c</em> is the hypotenuse. the hypotenuse of a right triangle is the side opposite of the right angle. using this information we can see the following:
sides of the triangle (a and b): 32 and 60
hypotenuse: c, our missing side
we plug these values into the formula
32² + 60² = c² < simplify the exponents
1024 + 3600 = c² < add
4624 = c² < square root both sides to get c on one side with no exponent
√4624 = √c² < simplify square roots
68 = c
the length of the missing side is 68ft. to see if this is right, we can plug it into the formula to check but its not necessary.
