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Do Now

Learn how to classify triangles based on their side lengths and angle measures. Practice finding angle measures and using perimeters to find missing side lengths.

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Do Now

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  1. Do Now Draw a right triangle. Label the hypotenuse and legs. Label the side lengths of this triangle with the following lengths: 20, 37.5, and 42.5. Do these side lengths create a right triangle? Show your work.

  2. 10.1: Triangles: Day 2 Objective: Solve problems involving triangles Homework: 10.1 Practice Worksheet- Classifying Triangles

  3. A triangle can be classified by its sides and by its angles. • Classifying by sides • Equilateral: All 3 sides are congruent • Isosceles: 2 sides are congruent • Scalene: No sides are congruent

  4. Examples

  5. Classification by angles • Acute: All 3 angles less than 90 degrees • Obtuse: One angle is greater than 90 degrees • Right: One angle is exactly 90 degrees • Equiangular: All 3 angles are congruent

  6. Examples

  7. Practice: Classify the triangle by its sides and angles. 2.) 1.) 3.) 4.)

  8. Practice: Classify the triangle by its sides and angles.

  9. Do-Now

  10. 10.1: Triangles: Day 3 Objective: identify angle measures of triangles Homework: 10.1 Practice Worksheet- Finding Angle Measures of Triangles

  11. Finding Angle Measures Interior angles of a triangle add up to equal 180.

  12. Examples

  13. Acute angles of a right triangle are complementary. A B

  14. Examples

  15. Examples with Algebra 1) 2)

  16. Try These 3.) x x 1.) 40 2x 3x 105 2.) x 45

  17. Do Now

  18. 10.1: Triangles: Day 4 Objective: use perimeter to find missing side lengths of triangles Homework: 10.1 Practice A Worksheet- Using Perimeter to Find Missing Side Lengths of Triangles

  19. Using Perimeter to Find Side Lengths

  20. Find the unknown side length of the triangle given the perimeter P. Then classify the triangle by its side lengths.

  21. Examples 1. The ratio of the angle measures of a triangle is 3 : 4 : 5. Find the angle measures. Then classify the triangle by its angle measures. 2. The ratio of the angle measures of a triangle is 7 : 12 : 17. Find the angle measures. Then classify the triangle by its angle measures.

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