If lines AB=6cm, AC=10cm, BC=2•4cm, CD=4cm and AD=X cm. Also angle ABC = angle ACD.

Question

If lines AB=6cm, AC=10cm, BC=2•4cm, CD=4cm and AD=X cm. Also angle ABC = angle ACD. 
(a).Prove that triangle ABC is similar to triangle ACD.
(b).Determine the area of the quadrilateral ABCD if the area of triangle ACD is 60cm^2

MathMate · Answer

Length of lines AB, AC and BC do not satisfy the triangle inequality, namely mAB+mBC=8.4cm < mAC=10 cm so a triangle cannot be drawn. Please proofread the whole question.

Justice · Answer

MathMate, the triangles are joined together, they share line AC. Hence it is possible to draw them. I would show the diagram but unfortunately I think this system doesn't allow that.