We have a square ABCD with sides = 1, and BE=1, and AE=CE.
What is the area of triangle ABE?
How can I solve this?
I found two ways to solve this and then stop. this is the shorter of the two methods. See the modified diagram below.
from the description we see that is isosceles. thus if we extend the line BE, it will cut the diagonal at a right angle. from this we can the angles that you see filled in.
now we simply use the formula
if you have any questions say so. i was kind of rushing through this and didn't explain much