# Geo-2017-Construction11-SimilarRightTriangles

- Author:
- elishevacarl

## 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.

## 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: