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. 17β
C. 4.25
D. 25β
E. 4.5
Solution:
From the diagram we have 4a2+b2=9 and a2+4b2=449ββ΄5a2+5b2=415ββ΄a2+b2=417β AB2=4a2+4 b2=17β΄AB=17β.