# Can an equilateral triangle be a right angle?

## Can an equilateral triangle be a right angle?

No, a right triangle cannot be an equilateral triangle.

## How many right angles does an equilateral triangle have?

In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. It is also a regular polygon, so it is also referred to as a regular triangle….

Equilateral triangle
Internal angle (degrees) 60°

Does an equilateral triangle have a 90 degree angle?

An equilateral triangle has all angles equal to 60 degrees. For a right triangle one angle has to be 90 degrees. Only if it’s a curvilinear triangle – e.g. on the surface of a sphere.

What is a right equilateral triangle?

An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees. To find the height we divide the triangle into two special 30 – 60 – 90 right triangles by drawing a line from one corner to the center of the opposite side.

### What is a right angle triangle called?

A right triangle (American English) or right-angled triangle (British), or more formally an orthogonal triangle (Ancient Greek: ὀρθόςγωνία, lit. The side opposite to the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (or catheti, singular: cathetus).

### What shape is a equilateral?

triangles
A shape is equilateral if all the sides are the same length. In geometry class, people learn about many shapes, such as triangles and squares. A square is equilateral, because all of its sides are the same length. A rhombus is also equilateral — its sides are also the same length.

How are angles of an equilateral triangle related?

An equilateral triangle is one in which all three sides are congruent. It also has the property that all three interior angles are equal. In other words, all three angles of an equilateral triangle are always 60°. Since all sides are congruent, the other two sides both measure 12 centimeters.

How do you know if a triangle is equilateral?

Equilateral Triangle: A triangle is said to be equilateral triangle if all the sides are equal. If X, Y, Z are three sides of the triangle. Then, the triangle is equilateral only if X = Y = Z.

#### What is the measure of an angle of an equilateral triangle?

60°
Sal proves that the angles of an equilateral triangle are all congruent (and therefore they all measure 60°), and conversely, that triangles with all congruent angles are equilateral.

#### What is an acute equilateral?

An acute triangle is a triangle in which each angle is an acute angle. For example, an equilateral triangle is always acute, since all angles (which are 60) are all less than 90.