Now, you might be asking yourself, hey Sal, can a triangle be multiple of these things. Wouldn't an equilateral triangle be a special case of an isosceles triangle? A right triangle is a triangle that has one angle that is exactly 90 degrees.
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None of the sides have an equal length. 4-1 classifying triangles answer key.com. Answer: Yes, the requirement for an isosceles triangle is to only have TWO sides that are equal. A triangle cannot contain a reflex angle because the sum of all angles in a triangle is equal to 180 degrees. Want to join the conversation? Now you could imagine an obtuse triangle, based on the idea that an obtuse angle is larger than 90 degrees, an obtuse triangle is a triangle that has one angle that is larger than 90 degrees.
And this right over here would be a 90 degree angle. Maybe this angle or this angle is one that's 90 degrees. An isosceles triangle can not be an equilateral because equilateral have all sides the same, but isosceles only has two the same. So there's multiple combinations that you could have between these situations and these situations right over here. So that is equal to 90 degrees. Now an isosceles triangle is a triangle where at least two of the sides have equal lengths. So for example, a triangle like this-- maybe this is 60, let me draw a little bit bigger so I can draw the angle measures. 4-1 classifying triangles answer key strokes. And then let's see, let me make sure that this would make sense.
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They would put a little, the edge of a box-looking thing. A perfect triangle, I think does not exist. So for example, this right over here would be a right triangle. I dislike this(5 votes). Are all triangles 180 degrees, if they are acute or obtuse? Now an equilateral triangle, you might imagine, and you'd be right, is a triangle where all three sides have the same length. Classifying triangles answer key. Scalene: I have no rules, I'm a scale! Equilateral triangles have 3 sides of equal length, meaning that they've already satisfied the conditions for an isosceles triangle. So for example, this one right over here, this isosceles triangle, clearly not equilateral. So let's say that you have a triangle that looks like this. But on the other hand, we have an isosceles triangle, and the requirements for that is to have ONLY two sides of equal length. So the first categorization right here, and all of these are based on whether or not the triangle has equal sides, is scalene.
Have a blessed, wonderful day! An equilateral triangle would have all equal sides. And that tells you that this angle right over here is 90 degrees. And because this triangle has a 90 degree angle, and it could only have one 90 degree angle, this is a right triangle. Any triangle where all three sides have the same length is going to be equilateral. That is an isosceles triangle. A reflex angle is equal to more than 180 degrees (by definition), so that means the other two angles will have a negative size.
This would be an acute triangle. But the important point here is that we have an angle that is a larger, that is greater, than 90 degrees. And a scalene triangle is a triangle where none of the sides are equal. I've heard of it, and @ultrabaymax mentioned it. Can a acute be a right to. Created by Sal Khan. Maybe you could classify that as a perfect triangle! So it meets the constraint of at least two of the three sides are have the same length.
Isosceles: I am an I (eye) sosceles (Isosceles). So for example, this would be an equilateral triangle. Notice all of the angles are less than 90 degrees. No, it can't be a right angle because it is not able to make an angle like that. A reflex angle is an angle measuring greater than 180 degrees but less than 360 degrees. But not all isosceles triangles are equilateral.
Classifying Triangles Answer Key
You could have an equilateral acute triangle. Absolutely, you could have a right scalene triangle. Would it be a right angle? An acute triangle can't be a right triangle, as acute triangles require all angles to be under 90 degrees. If this angle is 60 degrees, maybe this one right over here is 59 degrees. Learn to categorize triangles as scalene, isosceles, equilateral, acute, right, or obtuse. In this situation right over here, actually a 3, 4, 5 triangle, a triangle that has lengths of 3, 4, and 5 actually is a right triangle. 25 plus 35 is 60, plus 120, is 180 degrees. And this is 25 degrees. An equilateral triangle has all three sides equal, so it meets the constraints for an isosceles. In fact, all equilateral triangles, because all of the angles are exactly 60 degrees, all equilateral triangles are actually acute.
What type of isosceles triangle can be an equilateral. Now you might say, well Sal, didn't you just say that an isosceles triangle is a triangle has at least two sides being equal. All three sides are not the same. That's a little bit less. Maybe this is the wrong video to post this question on, but I'm really curious and I couldn't find any other videos on here that might match this question. So by that definition, all equilateral triangles are also isosceles triangles. What I want to do in this video is talk about the two main ways that triangles are categorized.
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Can it be a right scalene triangle? To remember the names of the scalene, isosceles, and the equilateral triangles, think like this! A right triangle has to have one angle equal to 90 degrees. An equilateral triangle has all three sides equal? But both of these equilateral triangles meet the constraint that at least two of the sides are equal. My weight are always different! An equilateral triangle has 3 equal sides and all equal angle with angle 60 degrees. Or maybe that is 35 degrees. The only requirement for an isosceles triangle is for at minimum 2 sides to be the same length. The first way is based on whether or not the triangle has equal sides, or at least a few equal sides. And the normal way that this is specified, people wouldn't just do the traditional angle measure and write 90 degrees here. So let's say a triangle like this. Then the other way is based on the measure of the angles of the triangle. An acute triangle is a triangle where all of the angles are less than 90 degrees.
I want to make it a little bit more obvious. Why is an equilateral triangle part of an icoseles triangle. E. g, there is a triangle, two sides are 3cm, and one is 2cm. Notice, they still add up to 180, or at least they should. Or if I have a triangle like this where it's 3, 3, and 3.
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