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Since the definition of an equilateral triangle is "a triangle with three equal sides", it must therefore also have three equal angles. Since the angles in any triangle add up to 180 degrees, each of those angles is 60 degrees.
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What is the largest exterior angle that any regular polygon can have?
The largest exterior angle measure is 120o. It is the exterior measure of an equilateral triangle (which is a regular polygon).
What are the classification of triangle according to sides and angles?
Classification of Triangles According to anglesIf one angle of a triangle is a right angle (90°), then it is called a Right triangle. Note that the other two angles are acute.If all the angles of a triangle are acute (less than 90°), then it is called an acute angled triangle.If one angle of a triangle is obtuse (greater than 90°), then it is called an obtuse triangle. Note that the other two angles are acute.According to sides:If any two sides of a triangle are equal, then it is called an Isosceles Triangle. In ABC, AB = AC ABC is isosceles.If all the three sides of a triangle are equal, then it is an Equilateral Triangle. In ABC, AB = BC = CA ABC is equilateral.If no two sides of a triangle are equal, then it is called a Scalene Triangle. In ABC, AB BC CA. ABC is scalene.
What type of triangle has an angle that measures 20 degrees and and angle that measures 90 degrees?
Any triangle that has an angle measuring 90 degrees is a right triangle.
How does one get the formula for an equilateral triangle?
the formula for the area of equilateral triangle with side length a is (a^2)(sqrt(3)/4 ) So draw an equilateral triangle with sides a,a,a. Now divide it into two triangles by bisecting the top angle and extending that line down so it makes a 90 angle with the base. (any angle will do since it is symmetric, but I am trying to help you draw it) Now the new half triangle you have is a 30 60 90 triangle since the top angle is half the original which was 60 and the lower left angle is still 60. The 90 degree angle is the third angle and we are drawing it this way so we have a that the side between the 30 and 90 degree angles is the height of the triangle and we can use 1/bh which is the area formula. The new base has length a and the height is sqrt3(a) because it is a 30-60-90 triangle so 1/2 bxh= 1/2(1/2 )a (sqrt3)a=(1/4)a^2( sqrt3 )since 1/2 base = a/4 and height is sqrt3 x a
What is a 3-sided polygon with 1 right angle and no equal sides?
2
Is there any such thing as an Equilateral right triangle?
No because an equilateral triangles has 3 equal sides and 3 equal angles of 60 degrees. But there is such a thing as an isosceles right angle triangle which has 2 equal sides and a 90 degree angle with two equal angles of 45 degrees.
What is a triangle right equilateral scalene isosceles?
A triangle in which one angle is equal to 90o is called a right triangle. A triangle in which all sides are equal (or) all the angles are equal to 60o is called an equilateral triangle. A triangle in which any two sides or any two angles are equal is called an isosceles triangle. A triangle in which all the sides or angles are different is called a scalene triangle.
What is the interior angle of a triangle equal to plus?
The 3 interior angles of any triangle add up to 180 degrees and an equilateral triangle has 3 equal 60 degree angles.
Can an equllateral triangle have a right angle?
No. All three angles of an equilateral triangle are equal (just like all three of the sides are). Since all three angles of any triangle have to add up to 180 degrees, each angle of the equilateral triangle has to be 60 degrees.
How many equal side and angles does an equilateral triangle have?
There are exactly 3 equal angles (of 60o) and three equal sides in any equilateral triangle.
What is the angle of a triangle with 3 equal sides?
A triangle where all three sides are equal is called an equilateral triangle. The sum of all three angles in any triangle is 180 degrees, and since equal sides means equal angles, three equal angles totaling 180 degrees; each angle must be 60 degrees.
Does a equilateral triangle have right angle?
Only right triangles have right angles. An equilateral triangle though can't have a right angle because all the angles in any type of triangle must add up to 180 degrees. For each angle to be equilateral, they must be 60 degrees, showing that there is no angle at 90 degrees in an equilateral triangle, which would signify that it would be right.
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
What kind of triangle is 45 degrees?
45 degrees is an angle, not a triangle.A triangle containing an angle of 45 degrees can be any kind of triangle except an equilateral triangle.
Does an equilateral triangle have line symmetry?
In order to have any lines of symmetry, a triangle must have either two sides equal (isosceles) or three sides equal (equilateral).
An equilateral triangle has how many equal side?
An equilateral triangle has three equal sides1. 1. Any triangle has only three sides. A triangle is a closed figure that is bounded by three straight lines.
Could a right triangle ever be an equilateral triangle?
No, never. There's more than one way to get at it: -- The angles of an equilateral triangle are all equal. Since the interior angles of any triangle always add up to 180 degrees, the angles of an equilateral triangle are each 60 degrees. There's no right angle. -- A right triangle is a triangle with an interior right angle. An equilateral triangle has three equal angles. If it were a right triangle, each angle would be a right angle. Then: -- the three interior angles would add up to 270 degrees, which is impossible in a triangle; and -- two sides would be parallel to each other, they would never meet, and there could be no triangle. -- The sides of a right triangle satisfy the Pythagorean equation: A2 + B2 = C2. If all three sides were equal, then you'd have (two times the square of a number) equal to (the square of the same number), which isn't possible. -- Remember that the 'hypotenuse' of a right triangle is the longest side. But an equilateral triangle can't have a 'longest' side.NOA right triangle always has a 90 degree angle and an equilateral triangle always has three 60 degree angles, so no.
