Are All Sides Congruent in a Scalene Triangle?

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Certain types of triangles feature sides that are considered to be congruent. Find out if all sides are congruent in a scalene triangle with help from a high school math tutor in this free video clip.

Part of the Video Series: Solving Math Problems
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Video Transcript

Hi, I'm Charlie Kasov. I'm a math teacher, and today we're going to answer the question are all sides congruent in a scalene triangle and the short answer is no. The reason is a scalene triangle is a triangle in which all three sides are not equal. So if this one is 4 and this one is 5 and this one is 7, that means it's scalene. If all sides are congruent, that means it's an equilateral triangle. So an equilateral would be 6, 6 and 6 and all the angle would be equal as well. So 60, 60 and 60. So with a scalene, no sides can be equal and no angles can be equal. With an equilateral, all sides are equal and all angles are equal. In between the two is an isosceles triangle in which say this is 6, this is 6 and this is 5, in an Isosceles triangle, two sides are equal and two angles are equal. So just to repeat, a scalene triangle, no sides and no angles equal, an isosceles, two sides and two angles equal and an equilateral is three sides and three angles are equal. So I'm Charlie Kasov and you just learned the answer to the question are all sides congruent in a scalene triangle. Thanks a lot.


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