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Tuesday, January 6, 2015

Similar Triangles, 3

Category: Plane Geometry

"Published in Newark, California, USA"

In the given figure below, a segment joins the midpoints of two sides of a triangle. Find the values of x and y.

Photo by Math Principles in Everyday Life

Solution:

Consider the given figure above

Photo by Math Principles in Everyday Life

Since a line segment joins the midpoints of two sides of a triangle, then the value of y is
 
 
 
 

A small triangle is similar to big triangle because a line segment which is its base that joins the midpoints of two sides of a big triangle is parallel to the base of big triangle. By similar triangles, the value of x is