MathDB

12

Part of 2014 BMT Spring

Problems(2)

2014 BMT Team 12

Source:

1/6/2022
A two-digit integer is reversible if, when written backwards in base 1010, it has the same number of positive divisors. Find the number of reversible integers.
number theory
max area of triangle ACD, AB=3, BC=4, CA=5, BD=6 2014 BMT Individual 12

Source:

1/2/2022
Suppose four coplanar points A,B,CA, B, C, and DD satisfy AB=3AB = 3, BC=4BC = 4, CA=5CA = 5, and BD=6BD = 6. Determine the maximal possible area of △ACD\vartriangle ACD.
geometryarea of a triangleareasgeometric inequality