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They add to Ï€ radians (or 180 degrees)

Q: What do you notice about the interior angles of a triangle when they are put together?

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Equiangular TriangleFrom Latin: aequus -"equal" , angulum -"corner" A triangle which has all three interior angles equal (congruent). Try this Drag the orange dots on each vertex to reshape the triangle. Notice it always remains an equiangular triangle. The angles A,B and C always remain equal in measure. An equiangular triangle is a triangle where all three interior angles are equal in measure. Because the interior angles of any triangle always add up to 180°, each angle is always a third of that, or 60° The sides of an equiangular triangle are all the same length (congruent), and so an equiangular triangle is really the same thing as an equilateral triangle. See Equilateral Triangles.

A triangle can only have 3 acute angles because the triangle itself only measures to about 180 degrees. When you seperate the lines that make up the triange, you will notice that it does not pass 90 degrees. Anything below 90 degress, is understood as acute angles. Hope this helps! :)

A plane (flat) shape with three sides is called a "triangle".Notice that if it has three sides, then it must have three angles.

The formula for area of a circle is Area=pi*radius2 you know the area of your circle so now find the radius. 154 = pi*r2 r = 7 cm if you can imagine the equilateral triangle in the circle imagine that the radius touches the exact center of this triangle and can extend to one of the three points on the triangle. (this next part would be so much easier if i could draw you a picture). now, if you remember that an equilateral triangle has three angles that each measure up to 60 degrees. if you take the radius of the circle and draw a line from the center of the triangle to the tip of the triangle you will actually cut on of the 60 degree angles in half. this would now make you have an angle 30 degrees. if you do this same thing to another point you will notice you actually have another triangle inside this triangle. since all triangle angles add up to 180 degrees you know all three angles of this new triangle. (note: this new triangle is not an equilateral triangle). so this new triangle has an angle 30 degrees, 30 degrees, and 120 degrees. you can now use the law of sines to find out the length of one side of the equilateral triangle. if you have drawn your picture correctly then you will see that one side of the new triangle actually shares one side of the equilateral triangle. if you look at your new triangle their is only one side that is known a known quantity. this side is the side that is shared with the equilateral triangle. use the law of sines to figure out the length of this side... 7 / sin(30) = x / sin(120) x = 12.12cm you now know that one side of the equlateral triangle is 12.12cm. since there is three sides to the triangle the total perimeter of the equilateral triange is 12.12 times 3 your answer for the perimeter of the equilateral triangle is 36.36cm

They are equal, two are obtuse and two are acute.

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Equiangular TriangleFrom Latin: aequus -"equal" , angulum -"corner" A triangle which has all three interior angles equal (congruent). Try this Drag the orange dots on each vertex to reshape the triangle. Notice it always remains an equiangular triangle. The angles A,B and C always remain equal in measure. An equiangular triangle is a triangle where all three interior angles are equal in measure. Because the interior angles of any triangle always add up to 180°, each angle is always a third of that, or 60° The sides of an equiangular triangle are all the same length (congruent), and so an equiangular triangle is really the same thing as an equilateral triangle. See Equilateral Triangles.

A right angle has one angle, notice the words, "A right angle" (emphasis on the "A"), if it were a right triangle it would have 3 angles (TRIangle, tri means three).

A triangle can only have 3 acute angles because the triangle itself only measures to about 180 degrees. When you seperate the lines that make up the triange, you will notice that it does not pass 90 degrees. Anything below 90 degress, is understood as acute angles. Hope this helps! :)

A plane (flat) shape with three sides is called a "triangle".Notice that if it has three sides, then it must have three angles.

There is a formula for the total of the interior angles. A triangle (3 sides) adds up to 180°. A quadrilateral adds up to 360°. A pentagon adds up to 540° and a hexagon adds up to 720°. Notice that for each additional side, the sum of the interior angles increases by 180°. The general formula for an 'n' sided polygon is: (n-2) * 180° So (6-2) * 180° = 4 * 180° = 720° (like I said before)

Imagine connecting all the vertices of the regular 9-gon to the centre of the 9-gon. We have now created 9 triangles, so the sum of all their interior angles is 9*180 degrees = 1620 degrees. Notice that the sum of these angles is exactly the sum of the interior angles of the 9-gon, except we have created extra angles around the centre point. These extra make a circle, so they must add up to 360 degrees. Therefore is we substract 360 degrees from 1620 degrees we get the sum of all the interior angles of a regular 9-gon: 1620 degrees - 360 degrees = 1260 degrees. So finally, since there are 9 vertices, every single vertex must have an interior angle of 1260 degrees / 9 = 140 degrees.

To answer this question, you need to know a few things, which you probably know already:Any two angles formed by a straight line and a line coming off it in any direction will add to 180 degrees.There are 360 degrees in a circle.In a regular polygon, all of the interior angles will be equal. (I'm sure there's no need to tell you what an interior angle is)Now, if you think about it, in order for the hexagon (in other words, your 6-sided regular polygon; I'm going to call it a hexagon because it's shorter) be complete, the line that forms the outside of it has to go all the way around in a sort of circle. If you imagine that each side of the hexagon extends out in one direction, like a pinwheel, then the total of those small outside angles is 360 degrees.There are 6 of those angles, so 360 divided by 6 gives 60 degrees per Exterior Angle in a hexagon.Now, notice that there is one of these Exterior Angles per Interior Angle, and that the two add to 180 degrees (for the reasons stated above).So, 180 minus 60 gives 120 degrees per interior angle!This method works for all regular polygons. There is another method as well: The total of the interior angles in a triangle is 180 degrees. Pick one vertex (corner) of the polygon and draw lines from it to all the other vertices. Count the number of triangles you see, and multiply that number by 180. This gives you the sum of the interior angles in that polygon. Then, if it's regular, divide by the number of interior angles to give you the value of each interior angle.Remember that both of these methods only work when the polygon is regular.WikipediaWictionaryChambers (UK)Google imagesGoogle defineThe Free DictionaryJoin exampleWordNetGoogleUrban DictionaryAnswers.comrhymezone.comMerriam-Webster0wvcidfjoguarm

they are congruent: exactly equal

The formula for area of a circle is Area=pi*radius2 you know the area of your circle so now find the radius. 154 = pi*r2 r = 7 cm if you can imagine the equilateral triangle in the circle imagine that the radius touches the exact center of this triangle and can extend to one of the three points on the triangle. (this next part would be so much easier if i could draw you a picture). now, if you remember that an equilateral triangle has three angles that each measure up to 60 degrees. if you take the radius of the circle and draw a line from the center of the triangle to the tip of the triangle you will actually cut on of the 60 degree angles in half. this would now make you have an angle 30 degrees. if you do this same thing to another point you will notice you actually have another triangle inside this triangle. since all triangle angles add up to 180 degrees you know all three angles of this new triangle. (note: this new triangle is not an equilateral triangle). so this new triangle has an angle 30 degrees, 30 degrees, and 120 degrees. you can now use the law of sines to find out the length of one side of the equilateral triangle. if you have drawn your picture correctly then you will see that one side of the new triangle actually shares one side of the equilateral triangle. if you look at your new triangle their is only one side that is known a known quantity. this side is the side that is shared with the equilateral triangle. use the law of sines to figure out the length of this side... 7 / sin(30) = x / sin(120) x = 12.12cm you now know that one side of the equlateral triangle is 12.12cm. since there is three sides to the triangle the total perimeter of the equilateral triange is 12.12 times 3 your answer for the perimeter of the equilateral triangle is 36.36cm

They are equal, two are obtuse and two are acute.

Pythagoras

if you havent notice they are in the shape of a triangle X)