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What is equiangular angle?
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 trianle with three sides and three angles is called?
A plane (flat) shape with three sides is called a "triangle".Notice that if it has three sides, then it must have three angles.
Why can a triangle have three acute angles?
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! :)
What is the sum of the angle in a pentgon?
Here is a table for the sum of the interior angles of polygons. No. sides ; Sum 3 ; 180 4 ; 360 5 ; 540 ( The answer to your question). 6 ; 720 7 ; 900 8 ; 1080 9 ; 1260 10 ; 1440 NB Notice for each addition side , add 180.
What will be the perimeter of an equilateral triangle inscribed in a circle of area154 sq.cm?
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
What is equiangular angle?
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.
How meany angles does a right angle have?
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 trianle with three sides and three angles is called?
A plane (flat) shape with three sides is called a "triangle".Notice that if it has three sides, then it must have three angles.
Why can a triangle have three acute angles?
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! :)
What is the sum of a six sided polygon?
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)
What is the sum of the angle in a pentgon?
Here is a table for the sum of the interior angles of polygons. No. sides ; Sum 3 ; 180 4 ; 360 5 ; 540 ( The answer to your question). 6 ; 720 7 ; 900 8 ; 1080 9 ; 1260 10 ; 1440 NB Notice for each addition side , add 180.
What is the measure of an interior angle of a regular 9-gon?
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.
What do you notice about the measures of pairs of vertical angles?
they are congruent: exactly equal
What is meant by triangle rigidity?
Triangle rigidity refers to the property of a triangle to maintain its shape and size when its sides are fixed in length. In other words, the angles and side lengths of a triangle uniquely determine its shape, so if they are fixed, the triangle cannot be deformed without changing these properties.
What will be the perimeter of an equilateral triangle inscribed in a circle of area154 sq.cm?
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
What do you notice about the size of of opposite angles in parllelograms?
They are equal, two are obtuse and two are acute.
Who was the first person to notice the relationship between legs and hypotunice of a right triangle?
Pythagoras
