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how do you know if its a scalene triangle

by Prof. Savannah Hahn Jr. Published 3 years ago Updated 2 years ago

How do you know if its a scalene triangle?

  • Acute Triangle: All angles are less than 90°.
  • Obtuse Triangle: One angle is greater than 90°.
  • Right Triangle: One angle is 90°.
  • Equilateral Triangle: 3 equal sides. 3 equal angles.
  • Isosceles Triangle: 2 equal sides. 2 equal angles.
  • Scalene Triangle: No equal sides. No equal angles.

When all the three sides of the triangles are equal in length, it is an equilateral triangle. When any two sides of the triangle are equal in length, it is an isosceles triangle. When all the three sides of the triangle are of different measures, it is a scalene triangle.

Full Answer

How many degrees are in a scalene triangle?

It has three vertices and three edges. What is a Scalene Triangle? A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees.

What are the properties of a scalene triangle?

The properties of a scalene triangle are given below: All sides of a scalene triangle are unequal. 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. A scalene triangle can be acute-angled or obtuse-angled or right-angled.

How do you calculate the scale factor of a triangle?

one, use the ratio scale factor=smaller-lengthlargerlength{displaystyle {text{Scale Factor}}={frac {smallerlength}{largerlength}}}} [3] For example, if you scale from a triangle with a 15 cm base to one with a 10 cm base, you'll use the relationship scale factor=smaller-length{displaystyle {text{Scale Factor}}={frac

What is an example of a scalene triangle?

  • 40 degrees - 50 degrees - 90 degrees is a scalene triangle since all the angle measures are different.
  • 60 degrees - 60 degrees - 60 degrees is not a scalene triangle since the angle measures are not all different.
  • 120 degrees - 10 degrees - 50 degrees is a scalene triangle since all the angle measures are different.

How do you identify a scalene triangle?

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. The given triangle cannot be divided into two identical halves.

How do you identify a scalene?

0:214:30Triangles - Equilateral, Isosceles and Scalene - YouTubeYouTubeStart of suggested clipEnd of suggested clipThere are three special names given to triangles that tell you how many sides or angles are equalMoreThere are three special names given to triangles that tell you how many sides or angles are equal there can be three two or no equal sides and angles equilateral triangle three equal sides three equal

How do you know if it is scalene triangle or right triangle?

4:1415:24Learn Equilateral, Scalene & Isosceles Triangles and ... - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd an isosceles triangle let's talk about the third kind of triangle called a scalene triangle itMoreAnd an isosceles triangle let's talk about the third kind of triangle called a scalene triangle it means all sides are different lengths. And all angles are also different measures as well.

What defines an scalene triangle?

Definition of scalene of a triangle. : having the three sides of unequal length — see triangle illustration.

What are the 3 properties of a scalene triangle?

Properties of Scalene Triangle It has no equal angles. It has no line of symmetry. It has no point symmetry. The angles inside this triangle can be an acute, obtuse or right angle.

How do you know what type of triangle it is?

What are the different types of triangle?The sum of angles in any triangle is 180°. ... An equilateral triangle has three equal sides and angles. ... An isosceles triangle can be drawn in many different ways. ... A right-angled triangle has one 90° angle.More items...

How do you teach scalene triangles?

1:152:56Equilateral, Isosceles, Scalene, Acute Triangle, Right Triangle and ObtuseYouTubeStart of suggested clipEnd of suggested clipAnd the triangle whose sides are all different is called a scalene triangle. If we classifiedMoreAnd the triangle whose sides are all different is called a scalene triangle. If we classified triangles depending on their angles. We would get three types the acute triangle.

What is a scalene triangle?

Scalene triangles are triangles with sides of different lengths or simply a triangle with noncongruent sides. For example, a triangle of side lengths of 2 cm, 3 cm, and 4 cm can be considered a scalene triangle.

How many degrees are there in a scalene triangle?

A scalene triangle is a type of triangle with all its three sides having different lengths with the sum of three of its angles being equal to 180 degrees. It has a wide range of properties. Some of the important properties of a scalene triangle are given below. It has three sides, each of a different length.

What is the difference between a scalene triangle and an obtuse triangle?

In an obtuse scalene triangle, the circumcenter will lie outside the triangle.

What is the interior angle of a scalene triangle?

The interior angles of the triangle can be acute, obtuse, or right angles. Thus, a scalene triangle can be an obtuse-angled, acute-angled, or right-angled triangle. In the case of an acute scalene triangle, the center of the circumscribing circle will lie inside the triangle.

How many degrees does the sum of the interior angles of a scalene triangle add up to?

However, the different measurements don't affect the sum of all the interior angles of the scalene triangle. The sum of the three interior angles always add up to 180 degrees, which satisfies the angle sum property of the triangle.

What are the three types of triangles?

Triangles are classified into three types - equilateral, isosceles, and scalene triangle based on the sides. The main points of difference between these three types of triangles are as discussed below: When all the three sides of the triangles are equal in length, it is an equilateral triangle.

How many units are in a triangle?

The sides of the triangle are given as 28 units, 39 units, and 18 units. Therefore, the perimeter of the triangle = sum of the sides = (28 + 39 + 18) units = 85 units. Example 3: The length of the sides of a triangle ABC are 4 units, 3 units, and 5 units. Calculate its area.

How to Identify Scalene, Isosceles & Equilateral Triangles from Coordinates

Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.

How to Identify Scalene, Isosceles & Equilateral Triangles from Coordinates Vocabulary and Formula

Scalene Triangle: A scalene triangle is a triangle whose three sides all have different lengths, and all three angles have different values.

How many degrees does a scalene triangle have?

Scalene triangle has all its three angles different in measures and obeys the angle sum property, i.e. the sum of the three interior angles equals 180 degrees.

What are the properties of scalene triangles?

Some of the important properties of the scalene triangle are as follows: 1 It has no equal sides. 2 It has no equal angles. 3 It has no line of symmetry. 4 It has no point symmetry. 5 The angles inside this triangle can be an acute, obtuse or right angle. 6 If all the angles of the triangle are less than 90 degrees (acute), then the center of the circumscribing circle will lie inside a triangle. 7 In a scalene obtuse triangle, the circumcenter will lie outside the triangle. 8 A scalene triangle can be an obtuse-angled, acute-angled or right-angled triangle.

What is the sum of all the interior angles of a scalene triangle?

However, the sum of all the interior angles is always equal to 180 degrees. Thus, it meets the angle sum property condition of triangle.

What is a triangle based on?

We are going to discuss here its definition, formulas for perimeter and area and its properties. The triangles are defined based on their sides and angles. In geometry, a triangle is a closed two-dimensional plane figure with three sides and three angles and is shown as ...

How many types of triangles are there?

According to the interior angles of the triangle, it can be classified into three types, namely: According to the sides of the triangle, the triangle can be classified into three types, namely;

How to find perimeter of a triangle?

Perimeter = a + b + c units. Example: Consider a given triangle. To find the perimeter for the given triangle, add the sides of a triangle. Therefore, perimeter = 15 + 34 + 32 = 81 cm.

Does a circumscribing circle have a line of symmetry?

It has no equal sides. It has no equal angles. It has no line of symmetry. It has no point symmetry. The angles inside this triangle can be an acute, obtuse or right angle. If all the angles of the triangle are less than 90 degrees (acute), then the center of the circumscribing circle will lie inside a triangle.

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