Question

If de parallel to bc then find ratio if triangle ade and triangle abc

Answer 1

As the triangle, ABC and ADE have a common point A and both BC is parallel to DE. so the lines joining DC and BE must be intersection each other at point A.

• Now after joining the two triangles we get that the angles formed between the DE and EB is equal to the angle between line BC and BE ( due to interior angle property)
• The angles DAE and angle BAC are vertically opposite hence are equal.
• similarly due to interior alternate angle property the rest two angles are also equal.

This state that all angles are equal hence the triangles are similar. hence they must be having a proportionate area.