Question

draw the diagram corresponding to thales theorem ​

Answer 1

Answer:

Thales Theorem Statement

Let us now state the Basic Proportionality Theorem which is as follows:

If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Basic Proportionality Theorem Proof

Let us now try to prove the basic proportionality theorem statement

Consider a triangle ΔABC, as shown in the given figure. In this triangle, we draw a line PQ parallel to the side BC of ΔABC and intersecting the sides AB and AC in P and Q, respectively.

Basic Proportionality Theorem

According to the basic proportionality theorem as stated above, we need to prove:

AP/PB = AQ/QC