Triangles 11.2.

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Presentation transcript:

Triangles 11.2

Classification by sides Equilateral has all sides congruent Isosceles has 2 congruent sides Scalene has no congruent sides

Classification by Angles Acute has 3 angles less than 90° Right triangle has 1 angle = 90 ° Obtuse has 1 angle greater than 90 ° Equiangular: has 3 congruent angles (is also acute)

Right, Scalene Triangle

Right, Isosceles Triangle

Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180°. B mA + mB +mC = 180° A C

Find m<E in triangle DEF if m<D= 62 degrees and m<F= 39 degrees.

The measures of the angles of the triangle XYZ are in the ratio 2:3:5 The measures of the angles of the triangle XYZ are in the ratio 2:3:5. What are the measurements of the angles?

Exterior s (4, 5, and 6) Interior Angles (1, 2, and 3)

Exterior Angle Theorem m<D +m<A =180 B C D A

Find x 95 x 142

Find X x 108 X+2

Homework Page 506-507 (2-26) evens