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Triangles

Triangles. Vocabulary. A triangle is a figure with three sides and three angles. The symbol of triangle is

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Triangles

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  1. Triangles

  2. Vocabulary A triangle is a figure with three sides and three angles. The symbol of triangle is Every triangle has at least two acute angles. One way you can classify a triangle is by using the third angle. Another way to classify triangles is by their sides. Sides with the same length are congruent segments.

  3. Classify Triangles by Angles

  4. Classify Triangles by Sides

  5. Example 1 Draw a triangle with one obtuse angle and no congruent sides. Then classify the triangle. The triangle is an obtuse scalene triangle

  6. Practice Draw a triangle with one right angle and two congruent sides. Then classify the triangle right isosceles

  7. Example 2 Classify the triangle on the house by its angles and by its sides. The triangle has one obtuse angle and two congruent sides. So, it is an obtuse isosceles triangle

  8. Practice Classify the triangle shown by its angles and by its sides. right scalene

  9. Vocabulary Angles of a Triangle: The sum of the measures of the angles of a triangle is 180°. x + y + z = 180 *you can write and solve an equation to find the missing angle measure of a triangle.

  10. Example 3

  11. Practice

  12. Example 4 The Alabama state flag is shown. What is the missing measure in the triangle? x + 110 + 35 = 180 x + 145 = 180 -145 -145 x = 35 The missing measure is 35°

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