In a tetrahedron ABCD, the lengths of

Question

AB, AC, and BD are 6, 10, and
14 respectively. The distance between the midpoints M of AB and N of CD is 4. The line AB is perpendicular to AC, BD, and MN. The volume of ABCD can be written as a√b, where a and b are positive integers, and b is not divisible by the square of a prime number. What is the value of a+b?

Answer 1

is the answer 53?

Answer 2

no its not 53

Answer 3

Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?