Geo-2017-Construction11-SimilarRightTriangles
Objective:
Demonstrate & prove Einstein’s Lesser Theorem through measurement and proof.
Visual Proof: Demonstration of Einstein's Lesser Thereom
How does the diagram above demonstrate that the blue and brown triangles are similar to the large triangle and to each other? (Hint: Consider the angles.)
Constructing the Diagram:
1. 
Construct a circle of any diameter.
2. 
Construct a diameter using a line through the center and a point on the circumference.
3. 
Using the ends of the diameter andany other point on the circle, construct a triangle.
4. 
Construct the altitude of the triangle using the perpendicular line tool.
5. 
Label the intersection of the altitude and the base using the perpendicular line tool.
Construct a circle of any diameter.
2. Construct a diameter using a line through the center and a point on the circumference.
3. Using the ends of the diameter andany other point on the circle, construct a triangle.
4. Construct the altitude of the triangle using the perpendicular line tool.
5. Label the intersection of the altitude and the base using the perpendicular line tool.
Einstien's Lesser Theorem
Observation & Measurement
Measure the following using the measurement tool 
or the Length command.
CE by using Length[C,E]
AC by using Length[A,C]
CB by using Length[C,B]
Calculate the product of and record it below.
Calculate and record it on your diagram.
Paragraph Proof
Given: EC is the altitude of the right Prove: