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GeoGebraGeoGebra Classroom

Right-Triangle Elements, Metric Relations and Pythagorean Theorem

Elements

Identifying of Similar Triangles

Metric relations in the right triangle

Mean Proportional or Geometric mean

Mean Proportional (or geometric mean) of the given segments m and n is the segment h which, with the given segments, form the following proportion:



Therefore,



or



Thus, the following linguistic representation can be used to describe the metric relationship



The height to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.

Task 2

Use a linguistic representation to represent the following metric relationship in the right triangle



Task 3

Use a linguistic representation to represent the following metric relationship in the right triangle



Pythagorean theorem

Task 4

Use a linguistic representation to represent the Pythagorean theorem