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Mathematics 22 Online
OpenStudy (firejay5):

An isosceles triangle can be defined as a triangle with at least two congruent sides. Using this definition, what other type of triangle could be described as isosceles? Explain.

Directrix (directrix):

Is there a diagram?

OpenStudy (firejay5):

no it's just a question; I fixed the question

Directrix (directrix):

Look at this chart again. Which triangle has three congruent sides?

Directrix (directrix):

Note: At least 2 means 2 or more than 2.

Directrix (directrix):

@Firejay5

OpenStudy (firejay5):

I am here; is it Equilateral triangle

Directrix (directrix):

That is correct. An equilateral triangle is also isosceles. With this site malfunctioning, I am unable to determine who is here "live" and my messaging system does not work so I typed a "shout out."

OpenStudy (firejay5):

why is an equilateral triangle considered isosceles

Directrix (directrix):

Going back to the posted definition: An isosceles triangle can be defined as a triangle with **at least two** congruent sides. An equilateral triangle has three congruent sides. Three is "at least two" so an equilateral triangle is also isosceles. The problem in understanding stems from being taught earlier that an isosceles triangle has two sides congruent and getting the idea that two means exactly two. The proper definition of isosceles triangle is a triangle with AT LEAST two sides congruent. An equilateral triangle fits that so it is isosceles.

Directrix (directrix):

Question?

OpenStudy (firejay5):

nope I am good. thanks! :D

Directrix (directrix):

Good to hear.

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