Created by Sal Khan. What I want to do in this video is talk about the two main ways that triangles are categorized. A reflex angle is equal to more than 180 degrees (by definition), so that means the other two angles will have a negative size. A right triangle has to have one angle equal to 90 degrees. You could have an equilateral acute triangle. That is an isosceles triangle.
So for example, this would be an equilateral triangle. That's a little bit less. 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. So that is equal to 90 degrees. But the important point here is that we have an angle that is a larger, that is greater, than 90 degrees. Classifying triangles worksheet answer key. I've heard of it, and @ultrabaymax mentioned it. Absolutely, you could have a right scalene triangle. Notice, they still add up to 180, or at least they should. An acute triangle can't be a right triangle, as acute triangles require all angles to be under 90 degrees. So for example, this one right over here, this isosceles triangle, clearly not equilateral.
Learn to categorize triangles as scalene, isosceles, equilateral, acute, right, or obtuse. In fact, all equilateral triangles, because all of the angles are exactly 60 degrees, all equilateral triangles are actually acute. Equilateral: I'm always equal, I'm always fair! Why is an equilateral triangle part of an icoseles triangle. Any triangle where all three sides have the same length is going to be equilateral. Or if I have a triangle like this where it's 3, 3, and 3. 4-1 practice classifying triangles answer key. An isosceles triangle can have more than 2 sides of the same length, but not less. They would draw the angle like this.
The first way is based on whether or not the triangle has equal sides, or at least a few equal sides. The only requirement for an isosceles triangle is for at minimum 2 sides to be the same length. And a scalene triangle is a triangle where none of the sides are equal. 4-1 classifying triangles answer key of life. All three sides are not the same. It's no an eqaulateral. 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.
A reflex angle is an angle measuring greater than 180 degrees but less than 360 degrees. They would put a little, the edge of a box-looking thing. This would be an acute triangle. Notice they all add up to 180 degrees. All three of a triangle's angles always equal to 180 degrees, so, because 180-90=90, the remaining two angles of a right triangle must add up to 90, and therefore neither of those individual angles can be over 90 degrees, which is required for an obtuse triangle. What is a reflex angle? Maybe you could classify that as a perfect triangle! 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 let's say that this has side 2, 2, and 2. To remember the names of the scalene, isosceles, and the equilateral triangles, think like this! So for example, this right over here would be a right triangle. If this angle is 60 degrees, maybe this one right over here is 59 degrees. Have a blessed, wonderful day! An equilateral triangle would have all equal sides.
But not all isosceles triangles are equilateral. So the first categorization right here, and all of these are based on whether or not the triangle has equal sides, is scalene. An obtuse triangle cannot be a right triangle. None of the sides have an equal length. But on the other hand, we have an isosceles triangle, and the requirements for that is to have ONLY two sides of equal length. And this right over here would be a 90 degree angle. 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. So it meets the constraint of at least two of the three sides are have the same length. What is a perfect triangle classified as? Notice all of the angles are less than 90 degrees. An equilateral triangle has 3 equal sides and all equal angle with angle 60 degrees.
A right triangle is a triangle that has one angle that is exactly 90 degrees. Can a acute be a right to. What type of isosceles triangle can be an equilateral. Isosceles: I am an I (eye) sosceles (Isosceles). So for example, if I have a triangle like this, where this side has length 3, this side has length 4, and this side has length 5, then this is going to be a scalene triangle. Notice, this side and this side are equal.
An equilateral triangle has all three sides equal, so it meets the constraints for an isosceles. Can an obtuse angle be a right. Then the other way is based on the measure of the angles of the triangle. Now down here, we're going to classify based on angles. So let's say that you have a triangle that looks like this.
Maybe this has length 3, this has length 3, and this has length 2. An equilateral triangle has all three sides equal? 25 plus 35 is 60, plus 120, is 180 degrees. No, it can't be a right angle because it is not able to make an angle like that.
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