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What Is a Triangle?

You're probably familiar with the prefix 'tri-.' It pops up in a lot of places. There's trilogy - like the Star Wars trilogy (okay - trilogies). There's triathlon, with its running, cycling and swimming. There's trio, like Nirvana or Destiny's Child.

What do all these have in common? Hmm, was Beyonce in Star Wars? No. All these tri- things have three of something. A movie trilogy has three movies. A triathlon has three events. And a trio has three members.

And this is where a triangle gets its name and defining characteristics. A triangle is a two-dimensional shape with three sides and three angles. Triangle - three angles. Yep, it's as simple as that.

Sides and Angles

A power trio needs a guitar, drums and bass. Likewise, a triangle has a few parts that come in threes. There are its three sides. Then there are the three angles. Without these sides and angles, it's not a triangle.

You might hear these corners referred to as vertices (or vertex if it's just one). Vertex isn't unique to triangles; it refers to the corner of any shape. And in the triangle, there are three vertices.

Base and Height

When you have a musical trio, like the Police, you usually have three people who all want to be the star. But while Stewart Copeland and Andy Summers can be awesome, they're not Sting. Sting is the star. I mean, he doesn't even have a normal name. His name is what bees do.

It's no different in a triangle. Sure, they all have three sides. But when we work with triangles, we need a point of reference. There has to be a spokesperson.

That's where the base comes in. The base is one side of the triangle. It's usually the bottom, but you can call any side the base; it doesn't matter. (Don't tell Sting we said that.) The base is useful when we want to identify the dimensions of a triangle, such as when we're finding its area.

The other dimension we want is the height. Wait, the what? Is it just another side? No. Think of the triangle like a mountain. I live near the Rockies, so I'm often looking at 14,000-foot peaks and thinking about their amazing height.

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triangles: definition and properties - video & lesson transcript | study.com

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Triangles: Definition and Properties - Video & Lesson Transcript | Study.com

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You're probably familiar with the prefix 'tri-.' It pops up in a lot of places. There's trilogy - like the Star Wars trilogy (okay - trilogies). There's triathlon, with its running, cycling and swimming. There's trio, like Nirvana or Destiny's Child. What do all these have in common?

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E) FINDING THE MEASURES OF ANGLES USING EXTERIOR ANGLE PROPERTY

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E) FINDING THE MEASURES OF ANGLES USING EXTERIOR ANGLE PROPERTY

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Practicing Geometry math: 'Exterior Angle Theorem'

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Fun math practice! Improve your skills with free problems in 'Exterior Angle Theorem' and thousands of other practice lessons.

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Thinglink

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TOUCH this image to discover its story. Image tagging powered by ThingLink

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D) Finding the Third Angle of a Triangle

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D) Finding the Third Angle of a Triangle

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An interactive math lesson about finding the size of the third angle of a triangle.

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C) ow do you determine whether a triangle can be formed given three side lengths?

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C) ow do you determine whether a triangle can be formed given three side lengths?

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How Do You Determine Whether a Triangle Can Be Formed Given Three Side Lengths? | Virtual Nerd

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Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.

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www.mindomo.com

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MAKE A MIND MAP OF TYPES OF TRIANGLES AND IT'S PROPERTIES

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USE the Quick CODE: ADVT267 (Note: Please create your students login ID on goformative to attempt this Assessment)

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Powerpoint presentation

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POWER POINT PRESENTATION ON TRIANGLE AND ITS PROPERTIES :

POWER POINT PRESENTATION ON TRIANGLE AND ITS PROPERTIES

Defination of Triangle :

Defination of Triangle A triangle is a simple closed curve made of three line segment. A c B It has three vertices-A,B,C Three sides - AB,BC,CA Three angles-<A,<B,<C

Slide 3:

Classification Of Triangles Classifying Triangles by Sides:- Scalene triangle:- A triangle having all the sides are unequal are called scalene triangle. c A B 5cm 8cm 4cm

Slide 4:

Isosceles triangle:-a triangle having two sides are equal are called isosceles triangle. A B c 5cm 5cm 8cm

Slide 5:

Equilateral triangle:-A triangle having all sides are equal are called equilateral triangle. 6cm 6cm 6cm A B c

Slide 6:

Classifying Triangles by angles- Acute-angles triangle:-A triangle having all the angles are greater than 0 but less than 90 are called Acute-angles triangle. o o A B c o 70 o 60 o

Slide 7:

Right-angled triangle:-A triangle having one angle is 90 is called Right-angled triangle. o 90 o B A c

Slide 8:

Obtuse -angled triangle:-A triangle having one angle is greater then 90 but less than 180 is called Obtuse -angled triangle. o o 120 o B A c

Slide 9:

Medians of Triangle Median of the triangle:-A line segment joining the vertex of a triangle to the mid point of its opposite side is called a median of a triangle. D c B A AD= median

Slide 10:

Altitudes of Triangle Altitudes of triangle:-The perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of a triangle. D A B c

Slide 11:

Exterior Angle of a Triangle Exterior angle of a triangle:-An exterior angle of a triangle is formed when a side of a triangle is produced. At each vertex, you have two ways of forming an exterior angle. A B c D <ACD=Exterior Angle.

Slide 12:

Interior Angle of a Triangle Interior angle of a triangle:-An interior Angle of a triangle is formed inside of a triangle. B c A <A<B<C=Interior Angle.

Slide 13:

Base Perpendicular Hypotenuse A B C Pythagoras Theorem ( AC) 2 = (AB) 2 + (BC) 2 Hypotenuse 2 = Perpendicular 2 + Base 2 In a right triangle, the square of the longest side is equal to the sum of squares of remaining two sides.

Slide 14:

Pythagoras Theorem

Slide 15:

THANK YOU DESIGNED BY-: PRATEEK KHATRI

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POWER POINT PRESENTATION ON TRIANGLE AND ITS PROPERTIES Defination of Triangle A triangle is a simple closed curve made of three line segment. A c B It has three vertices-A,B,C Three sides - AB,BC,CA Three angles-<A,<B,<C Classification Of Triangles Classifying Triangles by Sides:- Scalene triangle:- A triangle having all the sides are unequal are called scalene triangle.

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PLAYTIME

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Math is about practice! This arcade style triangles math game will
help kids learn to learn types of shapes the fun way.

Keep playing until the problems seem easy and you can solve them quickly.
Keep track of your score and try to do better each time you play.

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Math is about practice! This arcade style triangles math game will help kids learn to learn types of shapes the fun way. Keep playing until the problems seem easy and you can solve them quickly. Keep track of your score and try to do better each time you play.