# Is equilateral triangle isosceles?

## Is equilateral triangle isosceles?

An equilateral triangle is a triangle whose sides are all equal. Every equilateral triangle is also an isosceles triangle, so any two sides that are equal have equal opposite angles. Therefore, since all three sides of an equilateral triangle are equal, all three angles are equal, too.

## What is the rule of isosceles triangle?

The rule for an isosceles triangle is that the triangle must have two sides of equal length. These two sides are called the legs of the triangle and the unequal side is called the base. The isosceles triangle theorem further states that the angles opposite to each of the equal sides must also be equal.

What are the 7 types of triangles?

To learn about and construct the seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.

### What is difference between equilateral and isosceles triangle?

An equilateral triangle is the triangle in which all the sides are equal. One difference between equilateral and isosceles triangle is pretty clear from the figure that in equilateral triangle all the sides are equal whereas in the isosceles triangle, any two sides from the three are equal.

### What are the sides of an isosceles triangle?

In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base. The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles.

Are two angles equal in an isosceles triangle?

An isosceles triangle therefore has both two equal sides and two equal angles. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.

#### How do you find the other side of an isosceles triangle?

To find an unknown side of a triangle, you must know the length of other two sides and/or the altitude. To find the unknown base of an isosceles triangle, using the following formula: 2 * sqrt(L^2 – A^2), where L is the length of the other two legs and A is the altitude of the triangle.

#### What two features make an isosceles triangle?

An isosceles triangle is a triangle that: Has two congruent sides. Has congruent base angles. Has an altitude which: (1) meets the base at a right angle, (2) bisects the apex angle, and (3) splits the original isosceles triangle into two congruent halves.

How many sides are equal in isosceles triangle?

two equal sides
An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

## Can a triangle be both acute and equilateral?

Any triangle in which the Euler line is parallel to one side is an acute triangle. Acute triangles can be isosceles, equilateral , or scalene. The longest side of an acute triangle is opposite the largest angle. In an acute triangle, the following is true for the length of the sides:

## How many angles does a triangle have?

Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs. All triangles are convex and bicentric.

How do you find the angle of an obtuse triangle?

Since every triangle has a measurement of 180 degrees, a triangle can only have one obtuse angle. You can calculate an obtuse triangle using the lengths of the triangle’s sides. Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

### Are all acute triangles equilateral triangles?

All equilateral triangles are acute triangles. An equilateral triangle has three sides of equal length and three equal angles of 60°. An acute triangle has three inscribed squares. Each square coincides with a part of a triangle side.