# Obtuse Equilateral Triangle

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When given 3 triangle sides to determine if the triangle is acute right or obtuse. Obtuse Triangle – has an angle more than 90 degrees and has an orthocenter outside of the triangle. Welcome To Dover Publications Origami And Math Origami Design Origami For Beginners

### Lay your ruler on the paper then trace a pencil along the straight edge. Obtuse equilateral triangle. You are right – an equilateral triangle cannot have an obtuse angle. An equilateral triangle has three congruent sides. An obtuse triangle is one that has an angle greater than 90.

This line segment will form one side of your equilateral triangle which means that you will need to draw two more lines of exactly the same length each reaching toward a point at a 60 angle from the first line. The longest side is always opposite the obtuse angle. An obtuse-angled triangle can be scalene or isosceles but never equilateral.

Has an angle more than 90 Combining the Names Sometimes a triangle will have two names for example. An obtuse triangle or obtuse-angled triangle is a triangle with one obtuse angle greater than 90 and two acute angles. An equilateral triangle is always an acute triangle since all its angles are 60 which are acute angles.

In the obtuse triangle shown below a is the obtuse angle. See full answer below. A triangle in which 2 sides are equal and one angle is an obtuse angle is called an obtuse isosceles triangle.

An equilateral triangle has 3 equal angles all 60. An equilateral triangle may also be called a regular triangle. An obtuse triangle has one angle that is greater than 90.

An obtuse triangle has one obtuse angle ie. Since the total degrees in any triangle is 180 an obtuse triangle can only have one angle that measures more than 90. A right obtuse triangle an equilateral scalene triangle a right equilateral triangle.

An equilateral triangle also has equal angles 60 degrees each. An obtuse triangle has one obtuse angle ie. Now take three more pencils and try to form a triangle that has angles different from the first.

Right Isosceles Triangle. We classify triangles depending on their sides equilat. Hence they are called obtuse-angled triangle or simply obtuse triangle.

Properties of Obtuse Triangles. Therefore by definition you cannot draw an obtuse equilateral triangle. A triangle cannot be right-angled and obtuse angled at the same time.

Draw a straight line. 2 Sum the squares of the 2 shortest sides. Three equal sides Three equal angles always 60 Isosceles Triangle.

It is impossible to create an obtuse equilateral triangle. Because all the angles in a triangle add up to 180 the other two angles have to be acute less than 90. An equilateral triangle can never be obtuse.

Its impossible for a triangle to have more than one obtuse angle. An equilateral triangle is one that has three. In the obtuse triangle shown below a is the obtuse angle.

Therefore an equilateral angle can never be obtuse-angled. Two equal sides Two equal angles Scalene Triangle. An obtuse triangle is a type of triangle where one of the vertex angles is greater than 90 The triangles above have one angle greater than 90.

Equilateral Triangle – is a triangle where all of the sides are equal to one another. The longest side is always opposite the obtuse angle. Take three equal length pencils and form a triangle.

3 Compare this sum to the square of the 3rd side. In the picture on the left the shaded angle is the obtuse angle that distinguishes this triangle. Since an equilateral triangle has equal sides and angles each angle measures 60 which is acute.

In fact the angles are all fixed – they are each 60 degrees. 1 Square all 3 sides. The word equilateral means equal sides.

Since a triangles angles must sum to 180 in Euclidean geometry no Euclidean triangle can have more than one obtuse angle. The Obtuse Triangle has an obtuse angle an obtuse angle has more than 90. The angles in an equilateral triangle are also of equal measures 60º each.

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