Which statements are true? Select all that apply. Multiple select.

A)
If a2+b2=c2, then a triangle is a right triangle, and its legs are units long and b units long, and the hypotenuse is c units long.

B)
If a+b=c holds true, then a triangle is a right triangle.

C)
If a2+b2=c2 , then a+b+c .

D)
If a triangle is a right triangle, then a2+b2=c2 holds true.

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.