Respuesta :

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 a and b are sides (legs) of the triangle and c 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.