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Warm-up: Solve for x and classify the triangle.

Warm-up: Solve for x and classify the triangle. (5x + 2). (9x + 7) (4x + 8). (6x + 5) (4x + 8). (9 – x). Triangle Inequalities. How long must each side of the drawbridge be so that the bridge spans the river when both sides come down?.

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Warm-up: Solve for x and classify the triangle.

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  1. Warm-up: Solve for x and classify the triangle. (5x + 2) (9x + 7) (4x + 8) (6x + 5) (4x + 8) (9 – x)

  2. Triangle Inequalities How long must each side of the drawbridge be so that the bridge spans the river when both sides come down?

  3. Can you form a triangle using any three lengths??

  4. Investigate: Instructions: • Get a straw and a ruler • Pick a number 1-8 • Cut the straw the length of the number you chose. (in inches) • Please throw the extra away so you don’t get confused. • Now find 2 other people and try to make a triangle with your straw. Record the combinations. Some combinations will work, others won’t. You need to fill up the entire graph with no repetitions of the same combination. • When you are finished please throw the straw away, put the ruler back, and have a seat. We will discuss when everyone finishes and try to fill in the Triangle Sum Conjecture.

  5. Triangle Inequality Conjecture The sum of the lengths of any two sides of a triangle is __________ the length of the third side. Ex 1: Which of the following segments could form a triangle? A. 6, 8, 10 B. 3, 3, 3 C. 2, 3, 5 D. 8, 2, 9 E. 10, 3, 4 F. 1, 1, 2

  6. EX 2: Find the range of possible side lengths for the third side of the triangle. • 6 and 11 • 17 and 22 • 78 and 111

  7. Ex 3: Ordering Triangle Side Lengths and Angle Measures Write the angles in order from smallest to largest.

  8. Ex 4: Ordering Triangle Side Lengths and Angle Measures Write the sides in order from shortest to longest.

  9. 120 x EX 5: Solve for x.

  10. EX 6: Solve for x. (x + 9) 120 (2x – 3)

  11. 65 82 46 1 3 142 2 4 5 EX 7:Find the missing angles.

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