THALES THEOREM

THALES THEOREM

OBJECTIVE- to verify the basic proportionality theorem by using parallel lines board triangles cutouts

Basic proportionality theorem
If a line is drawn parallel to one side of a triangle to intersect the other two sides at distinct points two sides are divided in the same ratio

Prerequisite Knowledge

1. Statement of basic proportionality theorem
2. Drawing a line parallel to a given line which passes through a given point

Materials Required
White chart paper coloured paper pencil glue a pair of scissor and ruled paper sheet

OBSERVATION

1. Cut an acute angle se triangle ABC from coloured paper.
2. Paste the angle abc on ruled sheet such that the base of the triangle coincides with ruled line
3. Mark two points P and Q on AB and AC such that PQ||BC.
4. Using a ruler measure the length of AP, PB, AQ, and QC.
5. Repeat the same for right angle triangle and obtuse angle triangle.
6. Now observe the following observation table

RESULT

In each set of triangles we verify that 

AP = AQ
PB    QC