In the triangle ABC, angle A = 30 deg, angle B = 45 deg and since AC = a. The perpendicular from C on AB cuts AB in E. In this task you should calculate exact values.
a) Determine AE, BC and AB expressed by a.
b) Perpendicular from B on AC intersects the extension of AC in D. Find CD expressed by a.
c) A square KLMN is inscribed in the triangle ABC. The corners K and L are on the side AB, the corner M on BC and the corner N on AC. Find the sides in the square expressed by a.
I can't find a solution to c) Can someone help me?
The Attempt at a Solution
a) AE=(a√3)2 BC=(a√2)/2 AB=(a/2)(√3+1)
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