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Another triangle in a square problem (
Posted on 20230329
)
ABCD is a square with point E inside the square.
Line segments AE, BE, and DE are drawn.
The length of AE is 8 and angle AEB is a right angle.
What is the area of triangle AED?
See The Solution
Submitted by
Brian Smith
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Simple trig solution
 Comment 2 of 4 
Let x be the side length of the square.
cos(
∠
BAE)=8/x
Cofunctions of complementary angles are equal so
sin(
∠
DAE)=8/x
Area
Δ
AED = 1/2*8*x*sin(
∠
DAE) = 1/2*8*x*8/x = 32
Posted by
Jer
on 20230329 14:33:56
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