# Playing with a set square

Geometry Level pending

This is a problem that I designed two years ago while I was playing with a set square.

Well, as shown below, there are two right-angled triangles ABE and ADC that share the point A where is located the right angle.

Knowing that $$\overline{AB}$$=36 $$\overline{AD}$$=28 Find the area of the triangle EFC

Clarification: $$\overline{EB}$$ meet $$\overline{CD}$$ at F

A,E and C belong to the same line.

A,D and B belong to the same line.

$$\angle$$ABE=$$\angle$$AEB=$$45^{\circ}$$

$$\angle$$ADC=$$60^{\circ}$$

(The picture above is a scale drawing)

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