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2.7 – Triangles
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Type of ∆DefinitionPicture Equilateral Triangle CLASSIFICATION BY SIDES All sides are ≅
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Type of ∆DefinitionPicture Isosceles Triangle CLASSIFICATION BY SIDES 2 Sides ≅ base leg
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Type of ∆DefinitionPicture Scalene Triangle CLASSIFICATION BY SIDES No sides are ≅
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Type of ∆DefinitionPicture Equiangular Triangle CLASSIFICATION BY ANGLES All angles are ≅
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Type of ∆DefinitionPicture Acute Triangle CLASSIFICATION BY ANGLES All angles are acute
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Type of ∆DefinitionPicture Right Triangle CLASSIFICATION BY ANGLES One right angle leg hypotenuse
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Type of ∆DefinitionPicture Obtuse Triangle CLASSIFICATION BY ANGLES One obtuse angle and 2 acute angles
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Classify the triangle by the best definition based on sides and angles. Then find the sum of the interior angles.
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scalene right
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equilateral equiangular
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isosceles obtuse
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4. The sum of ANY triangles interior angles is 180°. Use this fact to solve for x below.
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x + 75 + 54 = 180 x + 129 = 180 x = 51
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2x + 3x + 55 = 180 5x + 55 = 180 x = 25 5x = 125
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4x – 1 + 3x + 90 = 180 7x + 89 = 180 x = 13 7x = 91
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A = 30 un 2 A = ½(12)(5) A = 30 un 2 A = ½(12)(5) A = 30 un 2 A = ½(12)(5)
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b h b h Triangle:
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PicturePerimeterArea Triangle Add the 3 sides
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4. If the area of the triangle is 63cm 2, find the height of the triangle.
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