Geometric Art: Poster, Typography, iPad
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Wednesday, September 26, 2018
Poster of Geometry Problem 1389: Triangle, 40-120-20 degree, Angle, Congruence using iPad Apps, Software
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i) Let's extend the line CA in the direction of A so that AB=AF. In this case, m(ABF)=m(BFC)=20 and BF=BC.(Triangle BFC,20-20-140)
ReplyDeleteii) Let's choose a point K outside the triangle and an E point on FC on the AC closed line so that FCnBK=E and m(ABE)=40. In this case, triangle BFK is equilateral triangle (triangle FKE, 40-60-80) is obtained. Also, AE=BE.
iii) When K and D are combined, since EKD is an isosceles triangle (40-40-140)m(FDK)=40, FK=KD. in this case, BK=KD and the triangle BKD is 40-70-70 triangle. So x+40=70 from here x=30 degrees