Can an equilateral triangle be scalene?

In an equilateral triangle, all three sides are the same length. An equilateral triangle is always equiangular (see below). In an isosceles triangle, two sides are the same length. In a scalene triangle, none of the sides are the same length.

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Correspondingly, is an equilateral triangle a scalene triangle?

A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.

Furthermore, what does scalene triangle mean in geometry? A scalene triangle is a triangle that has three unequal sides, such as those illustrated above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle.

Moreover, can an equiangular triangle be scalene?

Answer and Explanation: An equiangular triangle cannot be scalene. By definition, a scalene triangle is a triangle in which each side of the triangle has a different length.

How do you prove a triangle is a scalene?

The converse of this is also true - If all three angles are different, then the triangle is scalene, and all the sides are different lengths.

1. Interior angles are all different.
2. Shortest side is opposite the smallest angle.
3. Longest side is opposite the largest angle.
4. Area of a scalene triangle.
5. Other triangle topics.

Related Question Answers

What are the 7 triangles?

Triangle Types and Classifications: Isosceles, Equilateral, Obtuse, Acute and Scalene.

What is the formula for any triangle?

The area of a triangle is defined as the total space that is enclosed by any particular triangle. The basic formula to find the area of a given triangle is A = 1/2 × b × h, where b is the base and h is the height of the given triangle, whether it is scalene, isosceles or equilateral.

What are the properties of a scalene triangle?

Properties of the scalene triangle: All angles of a scalene triangle are unequal. A scalene triangle has no line of symmetry. The angle opposite to the longest side would be the greatest angle and vice versa. All sides of the given scalene triangle are unequal.

What are the three triangles?

There are different names for the types of triangles. A triangle's type depends on the length of its sides and the size of its angles (corners). There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene.

Is a right equilateral triangle possible?

An equilateral triangle can not be a right triangle. This makes sense because the angle measures in any triangle, not only an equilateral triangle, equal 180 degrees. In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees.

Can a scalene triangle have a right angle?

Answer and Explanation: A scalene triangle can have a right angle, or an angle with measure 90°, but not all scalene triangles have a right angle.

Is a acute scalene triangle possible?

An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral. Note: It is possible for a right triangle to also be scalene or isosceles. An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle).

What is the difference between isosceles triangle and equilateral triangle?

In an equilateral triangle , all the sides and angles are of equal length. In an isosceles triangle , 2 of the sides are equal and 2 angles are equal.

What triangle is impossible to draw?

The answer is: a right obtuse triangle, an equilateral scalene triangle, a right equilateral triangle.

Are equilateral triangles isosceles?

An equilateral triangle is one with three equal sides. An isosceles triangle is one with two equal sides. Therefore, every equilateral triangle is isosceles, but not every isosceles triangle is equilateral.

What does obtuse triangle mean?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

What is a regular triangle called?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.

What is equiangular triangle in math?

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°

Is ABC scalene isosceles or equilateral?

If none of the sides of a triangle are equal (of equal length), the triangle is scalene. If two or more of the triangles sides are equal, the triangle is isosceles. If all three of the sides of a triangle are equal, it is equilateral.

What is the best definition of scalene triangle?

A scalene triangle is a triangle with all the three unequal sides. None of its sides is equal to any other. But like other triangles, all the angles inside a scalene triangle add up to 180 degrees. Like if a triangle has sides 5 cm, 2 cm and 6 cm. Then it will be a scalene triangle.

Is a scalene triangle a polygon?

No, a scalene triangle is not a regular polygon. All the triangles are polygons and are characterised by having three sides.

What is the formula for finding the area of an isosceles triangle?

To find the area of an isosceles triangle using the lengths of the sides, label the lengths of each side, the base, and the height if it's provided. Then, use the equation Area = ½ base times height to find the area.

What is the shape of scalene triangle?

The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.

What is a right triangle in geometry?

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The side opposite the right angle is called the hypotenuse (side c in the figure).