Triangles and Angles Classifying Triangles. Triangle Classification by Sides Equilateral 3 congruent sides Isosceles 2 congruent sides Scalene No congruent.

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Classifying Triangles

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Presentation transcript:

Triangles and Angles Classifying Triangles

Triangle Classification by Sides Equilateral 3 congruent sides Isosceles 2 congruent sides Scalene No congruent sides

Triangle Classification by Angles Equilateral 3 congruent angles Acute 3 acute angles Obtuse 1 obtuse angle Right 1 right angle

More Definitions Interior Angles: angles inside the triangle Interior Angles: angles inside the triangle (angles A, B, and C) (angles A, B, and C) A B C Exterior Angles: angles adjacent to the interior angles Exterior Angles: angles adjacent to the interior angles (angles 1, 2, and 3) (angles 1, 2, and 3)

Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180 o. The sum of the measures of the interior angles of a triangle is 180 o. A B C <A + <B + <C = 180 o <A + <B + <C = 180 o When you add all the angles of a triangle together, you get the number = 180 o = 180 o = 180 o = 180 o x = 180 o x = 180 o

Solving for The Angles Write the angles with addition signs in between them. Write = 180 Combine Like Terms Solve for x Substitute x back in if you need to. A B C x x = x = x = x = X=46 X=46 Write the angles with addition signs in between them. Write the angles with addition signs in between them. Write = 180 Write = 180 Combine Like Terms Combine Like Terms Solve for x Solve for x Substitute x back in if you need to. Substitute x back in if you need to.