Warm-up: Solve for x and classify the triangle. (5x + 2) (6x + 5) (4x + 8) (9x + 7) (4x + 8) (9 – x)
Dec 14, 2015
Warm-up: Solve for x and classify the triangle.
(5x + 2)
(6x + 5) (4x + 8)
(9x + 7) (4x + 8)
(9 – x)
How long must each side of the drawbridge be so that the bridge spans the river when both sides come down?
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.
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, 10B. 3, 3, 3C. 2, 3, 5D. 8, 2, 9E. 10, 3, 4F. 1, 1, 2
EX 2: Find the range of possible side lengths for the third side of the triangle.
1. 6 and 11
2. 17 and 22
3. 78 and 111
Ex 3: Ordering Triangle Side Lengths and Angle Measures
Write the angles in order from smallest to largest.
Ex 4: Ordering Triangle Side Lengths and
Angle Measures
Write the sides in order from shortest to
longest.