Problem: In triangle ABC the median from A is given perpendicular to the median from B. If BC=7 and AC=6, then the length of AB is:
Answer Choices:
A. 4
B. 17​
C. 4.25
D. 25​
E. 4.5
Solution:
From the diagram we have 4a2+b2=9 and a2+4b2=449​∴5a2+5b2=415​∴a2+b2=417​ AB2=4a2+4 b2=17∴AB=17​.