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**.

Keeping this in consideration, What is height of equilateral triangle?

Explanation: If you draw a **height** in an **equilateral triangle** you can see that the **triangle** is divided in 2 right angled **triangles** in which: sides a are hypothenuses, **height** is one cathetus (common for both **triangles**), the other is equal to a2 , so if we use the Pythagorean theorem we get: (a2)2+h2=a2.

Also know, Are all isosceles triangles similar?

No, **all isosceles triangles** are not **similar**. An **isosceles triangle** is a **triangle** with two sides of equal length.

**27 Related Questions Answers Found**

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**How are all equilateral triangles congruent?**

A **triangle** which has **all** three of its sides equal in length. An **equilateral triangle** is one in which **all** three sides are **congruent** (same length). Because it also has **the** property that **all** three interior angles are equal, it really **the** same thing as an equiangular **triangle**.

**Are all isosceles right triangles similar?**

Yes, two **right isosceles triangles** are always **similar**. To prove why this is the case, we can determine that the angles of any **right isosceles triangle**

**What are two equilateral triangles always similar?**

Two triangles are similar if they have the same **angles** and the **side** lengths are proportional. Since equilateral triangles all have the same **angles**, and all **side** lengths are equal, any two equilateral triangles must be similar.

**Are all equilateral triangles Equiangular?**

In geometry, an **equilateral triangle** is a **triangle** in which **all** three sides are equal. 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 60Â°.

**What are the 3 sides of a triangle called?**

**Triangle**. A **triangle** is a **3**-sided polygon sometimes (but not very commonly) **called** the trigon. 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.

**What is the name of a regular triangle?**

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.

**Why is area of equilateral triangle?**

The side of the **equilateral triangle** that represents the height of the **triangle** will have a length of because it will be opposite the 60^{o} angle. To calculate the **area** of the **triangle**, multiply the base (one side of the **equilateral triangle**) and the height (the perpendicular bisector) and divide by two.

**Are all obtuse triangles similar?**

**Are all equilateral triangles acute?**

Yes, every **equilateral triangle** is an **acute triangle**. We have the following property about the measures of the angles of any **equilateral triangle**.

**Are all obtuse triangles similar?**

If two **triangles** are **similar**, then they are congruent. If two **triangles** are congruent, then they are **similar**. An **obtuse triangle** is **similar** to an acute **triangle**. **triangles** with congruent bases are **similar**.

**What is scalene triangle?**

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**. CITE THIS AS: Weisstein, Eric W. “

**Why are equilateral triangles Equiangular?**

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. Hence, every **equilateral triangle** is also **equiangular**.

**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 180Â°, each angle is always a third of that, or 60Â°

**Are all congruent triangles similar?**

Observe that for **triangles** to be **similar**, we just need **all** angles to be equal. But for **triangles** to be cogruent, angles as well as sides sholud be equal. Hence, while **congruent triangles** are **similar**, **similar triangles** may not be **congruent**.

**What is the measure of each angle of an equiangular triangle?**

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 180Â°, each angle is always a third of that, or 60Â°

**What is the measure of each angle of an equiangular triangle?**

In Euclidean geometry, an equiangular **polygon** is a **polygon** whose vertex angles are equal. If the lengths of the **sides** are also equal then it is a regular **polygon**. The only equiangular **triangle** is the **equilateral triangle**. **Rectangles**, including the square, are the only equiangular quadrilaterals (four-sided figures).

**What does obtuse triangle mean?**

An **obtuse triangle** (or **obtuse**-angled **triangle**) **is** a **triangle** with one **obtuse angle** (greater than 90Â°) and two acute angles.

**Are all 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 is the measure of each angle of an equilateral triangle?**

Since the sum of a **triangle’s angles** is always 180 degrees, **each angle** in an **equilateral triangle** must **measure** 60 degrees. This is because we must divide 180 degrees evenly between the three **angles**: 180 / 3 = 60.

**What are the angles of an equilateral triangle?**

You’ll notice that along with this **triangle’s** sides, its three **angles** are also all equal. Since the sum of a **triangle’s angles** is always 180 degrees, each **angle** in an **equilateral triangle** must measure 60 degrees. This is because we must divide 180 degrees evenly between the three **angles**: 180 / 3 = 60.

**Which best explains whether or not all isosceles triangles are similar quizlet?**

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. Hence, every **equilateral triangle** is also **equiangular**.

**What is a quadrilateral that is equilateral but not Equiangular?**

A square is a rectangle with four congruent sides. A **quadrilateral** can be **equiangular but not equilateral** (a rectangle) or **equilateral but not equiangular** (a rhombus). A square, however, is both. All sides of a square are the same length (**equilateral**) and all its angles have the same measure (**equiangular**).

**Is a triangle a regular polygon?**

A **regular polygon** is a **polygon** where all of the sides and angles are the same. An equilateral **triangle** is a **regular polygon**. It has all the same sides and the same angles. An isosceles **triangle** has two equal sides and two equal angles.

**Is a triangle a regular polygon?**

In an **equiangular triangle**, the **measure of each** of its interior **angles** is 60 Ã‚Â°.

**Are all equilateral triangles similar justify your answer?**

**The** AAA **Triangle** Similarity Postulate states that if **all** of **the** angles in a **triangle** are equal to **the** corresponding angles in another **triangle**, then those two **triangles** are equal. Since every **equilateral triangle’s** angles are 60 degrees, every **equilateral triangle** is **similar** to one another due to this AAA Postulate.

**Is a square a rhombus?**

A **rhombus** is a quadrilateral with all sides equal in length. A **square** is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a **rhombus** is not a **square** unless the angles are all right angles. A **square** however is a **rhombus** since all four of its sides are of the same length.

**Are all isosceles triangles similar?**

No, **all isosceles triangles** are not **similar**. An **isosceles triangle** is a **triangle** with two sides of equal length.

**What is scalene triangle?**

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**. CITE THIS AS: Weisstein, Eric W. “

**Are isosceles triangles Equiangular?**

A **rhombus** is a quadrilateral with all sides equal in length. A **square** is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a **rhombus** is not a **square** unless the angles are all right angles. A **square** however is a **rhombus** since all four of its sides are of the same length.

**What is equiangular and equilateral?**

Explanation: An **equiangular** polygon is a polygon in which all angles are equal. An **equilateral** polygon is a polygon with equal sides. If both sides and angles are equal then the polygon is called regular.

**How do you find the height in a triangle?**

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. Hence, every **equilateral triangle** is also **equiangular**.