Answer:
Part A we are given the legs and are looking for the hypotenuse
Part B 37^2 + 71^2 = c^2
Part C 37^2 + 71^2 = c^2
961+5041 = c^2
6002 = c^2
Take the square root of each side
sqrt(6002) = sqrt(c^2)
77.47257579=c
c = 77
Part D The size is 77 inches
Explanation:
The pythagorean theorem is a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a = 37 and b = 71 were are looking for the diagonal ( or hypotenuse) which is the size
37^2 + 71^2 = c^2
961+5041 = c^2
6002 = c^2
Take the square root of each side
sqrt(6002) = sqrt(c^2)
77.47257579=c
Rounded to the nearest whole number
77 =c
The size is 77 inches