Divide an isosceles triangle

How to divide an isosceles triangle into two parts with equal contents perpendicular to the axis of symmetry (into a trapezoid and a triangle)?

Correct answer:

x =  1.4142

Step-by-step explanation:

h2:a2=h:a h2=h a2/a  S1=h2 a22=a22 h2 a  S2=a+a22 h(1a2/a)  S1=S2  a22 h2 a=a+a22 h(1a2/a)  a22=(a+2) (aa2)=0 a22=a2a22 2 a22=a2  2a2=a  h2=h a2/a=a22 a2=1/2  x=h:h2  x=2=1.4142

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