Thales theorem explain and prove
Answers
Answered by
0
Answer:
This theorem states that, if you draw a line is parallel to a side of a triangle that transects the other sides into two distinct points then the line divides those sides in proportion. In addition, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side
Answered by
19
Basic Proportionality Theorem (BPT) or Thales theorem
A straight line drawn parallel to a side of triangle intersecting the other two sides, divides the sides in the same ratio.
In Δ ABC, D is a point on AB and E is a point on AC.
Draw a line DE || BC
∠ ABC = ∠ADE =∠1 [Corresponding angles are equal because DE || BC]
∠ACB = ∠AED = ∠2 [Corresponding Angel's are equal because DE || BC]
∠DAE = ∠BAE = ∠3 [Both triangles have a common angle]
ΔABC ~ ΔADE
Attachments:

Similar questions