Posted by **lin** on Friday, July 5, 2013 at 8:32am.

In a tetrahedron ABCD, the lengths of

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?

- helllllppp math -
**debjit**, Saturday, July 6, 2013 at 2:01pm
is the answer 53?

- helllllppp math -
**subharthi**, Sunday, July 7, 2013 at 4:32am
no its not 53

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