Those Three Infielders are Forming a Triangle

If you listen to Houston Astros baseball on the radio for any length of time, there is an above average chance that you will hear the team's play-by-play announcer Robert Ford say, "Three infielders form a triangle on the right side of the field."  As a math teacher, I always appreciate the inclusion of geometrical terms in a real life situation.  However, Ford's description usually leaves me wanting more details about the specific triangle.

What are the measurements of the triangle's three angles?  What type of triangle is it?  What is the perimeter of the trianagle?

Here's a math idea for you if you are a baseball fan: The next time you watch a game on television or in person, look for triangles that the players form when they are in defensive position.  Please note that any three players will almost always form a triangle unless they are in a straight line, like we see in the picture below.

NOT A TRIANGLE

Below you will find a description of different triangles you might see at the ballpark.  Happy triangle hunting.

An equilateral triangle is a triangle in which all three sides are equal in length.  In addition, the measure of each angle is 60 degrees.

An isosceles triangle is a triangle in which two sides are of equal length.

RIGHT

A right triangle is a triangle in which one of the angles is a 90 degree angle (Right Angle)

Acute

An acute triangle is a triangle in which the measure of all three angles is less than 90 degrees- all three angles are acute angles.

Obtuse

An obtuse triangle is a triangle in which the measure of one angle is more than 90 degrees (an obtuse angle.)

A scalene triangle is a triangle in which the length of all three sides is unequal.

BONUS POINTS to anyone who shows me a picture of baseball players forming a triangle.