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# CLASSIFYING TRIANGLES BY ANGLES

Date post: 24-Feb-2016
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CLASSIFYING TRIANGLES BY ANGLES. Classifying Triangles by Angles. ACUTE. EQUIANGULAR. OBTUSE. RIGHT. ACUTE TRIANGLE. Interior Angle. All interior angles are acute (or have a measure less than 90°). Example of Acute Triangle. - PowerPoint PPT Presentation
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CLASSIFYING TRIANGLES BY ANGLES
Transcript CLASSIFYING TRIANGLES BY ANGLES Classifying Triangles by Angles• ACUTE

• OBTUSE

• RIGHT

• EQUIANGULAR ACUTE TRIANGLE

•All interior angles are acute (or have a measure less than 90°)

Interior Angle Example of Acute Triangle

• Phineas’s head is an acute triangle because all interior angles measure less than 90°. This is easy to remember because Phineas is a ‘cute’ character! EQUIANGULAR TRIANGLE

•All interior angles are congruent (exactly the same measure)

Interior Angle

•All interior angles ALWAYS measure 60° for an equiangular triangle Examples of Equiangular Triangles OBTUSE TRIANGLE

•ONE interior angle is obtuse (or has a measure greater than 90°)

Obtuse Angle

•The other two interior angles of an obtuse triangle ALWAYS are acute (or have a measure less than 90°) Example of Obtuse Triangle

•Dr. Doofenshmirtz’s head is shaped like an obtuse triangle. This is easy to remember because he is an obtuse character. An obtuse character is one that is slow to learn or lacking insight. RIGHT TRIANGLE

•ONE interior angle is a right angle (or has a measure equal to 90°)

Right Angle

•The other two angles of a right triangle are ALWAYS acute (have a measure less than 90°) Example of A Right Triangle YOU TRY

• ACUTE

• OBTUSE

• RIGHT

• EQUIANGULAR YOU TRY

• ACUTE

• OBTUSE

• RIGHT

• EQUIANGULAR YOU TRY

• ACUTE

• OBTUSE

• RIGHT

• EQUIANGULAR YOU TRY

• ACUTE

• OBTUSE

• RIGHT

• EQUIANGULAR CLASSIFYING TRIANGLES BY SIDES Classifying Triangles by Sides

• EQUALATERAL

• ISOSCELES

• SCALENE EQUILATERAL TRIANGLE

•All sides are congruent (exactly the same length)

•EQUILATERAL TRIANGLES ARE ALWAYS ALSO EQUIANGULAR Examples of Equilateral Triangles ISOSCELES TRIANGLE

•Two sides are congruent (exactly the same length)•The angle between the congruent sides is called

the VERTEX ANGLE

VERTEX Examples of Isosceles Triangles SCALENE TRIANGLE

•NO sides are congruent Examples of Scalene Triangles Classifying Triangles

ACUTE ISOSCELES

Angles are classified first by ANGLE

And then by SIDE

ACUTEISOSCELES Classifying Triangles

RIGHT SCALENE

Angles are classified first by ANGLE

And then by SIDE

RIGHTSCALENE Classifying Triangles

OBTUSE SCALENE

Angles are classified first by ANGLE

And then by SIDE

OBTUSE SCALENE YOU TRY

• RIGHT ISOSCELES

• ACUTE ISOSCELES

• EQUIANGULAR EQUILATERAL

• RIGHT SCALENE YOU TRY

• ACUTE ISOSCELES

• OBTUSE SCALENE

• RIGHT EQUILATERAL

• EQUIANGULAR SCALENE YOU TRY

• ACUTE ISOSCELES

• OBTUSE SCALENE

• EQUIANGULAR EQUILATERAL YOU TRY

• ACUTE SCALENE

• OBTUSE SCALENE

• OBTUSE ISOSCELES YOU TRYGiven: Triangle ABC is equiangular triangle with side AB=3x-5 and side BC=2x-2. What are the lengths of the 3 sides?

A

B C

Step 1Realize that an equiangular triangle is ALWAYS an equilateral triangle an therefore ALL sides are CONGRUENT.

Step 2AB=BC3x-5=2x-2

Step 3Combine ‘x’ term3x-5=2x-23x-5-2x=2x-2x-21x-5=-2

Step 4Solve for x1x-5+5=-2+51x=3

Step 5Plug x into original equation to find length3x-53(3)-5=4 The End

Homework

Worksheet Page 186: 4-9 ALLWorksheet Page 187: 1-3 ALL YOU ARE CORRECT! OH DOOFENSHMIRTZ!TRY AGAIN!

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