Problem: The base of an isosceles triangle is 2. The medians to the legs intersect each other at right angles. The area of the triangle is:
Answer Choices:
A. 1.5
B. 2
C. 2.5
D. 3.5
E. 4
Solution:
x2+x2=2∴x=1∴DF=22
But
AEAD=32∴EGDF=32∴EG=432∴altitude CDF=232
∴A=21⋅2⋅232=23
or
x2+x2=2∴x=1
∴y2=1+41∴y=25∴BC=5
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