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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