Triangle Classification Objectives Classify triangles by their angle
Triangle Classification
Objectives • Classify triangles by their angle and side measures • Find the sum of the measure of the interior and exterior angles of a triangle
Not EQUILATERAL Three equal sides So What is an Equilateral?
Not Isosceles! Isosceles Two or more congruent (equal) sides ! So What is an Isosceles?
Not SCALENE No equal sides What is a SCALENE?
Triangle classification based on length of sides Equilateral Triangle Three equal sides Isosceles Triangle Two or more congruent (equal) sides Scalene Triangle No equal sides
ACUTE Each angle is acute / all angles measure less than 90° SO WHAT IS AN “ACUTE” TRIANGLE?
Not OBTUSE One angle is obtuse. It has an angle greater than 90° What is an OBTUSE Triangle?
Not RIGHT One angle is a right angle. One angle is exactly 90° So what is a RIGHT triangle?
Why did the right angle go to the beach?
Triangle classification based on angles Acute Triangle Obtuse Triangle Right Triangle Each angle is acute. All angles less than 90° One angle is obtuse. It has an angle greater than 90° One angle is a right angle. One angle is exactly 90°
Triangle classification based on angles (continuation) Equiangular (also equilateral) All angles are the same. Always is an equilateral triangle
What type of triangle is this? By length: • A. Equilateral • B. Isosceles • C. Scalene By angle: • D. Acute • E. Obtuse • F. Right • G. Equiangular
What type of triangle is this? By length: • A. Equilateral • B. Isosceles • C. Scalene By angle: • D. Acute • E. Obtuse • F. Right • G. Equiangular
It’s OK Bob. She wasn’t acute one.
What type of triangle is this? By length: • A. Equilateral • B. Isosceles • C. Scalene By angle: • D. Acute • E. Obtuse • F. Right • Equiangular
What type of triangle is this? By length: • A. Equilateral • B. Isosceles • C. Scalene By angle: • D. Acute • E. Obtuse • F. Right • G. Equiangular
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