Unit 8
Right Triangles
G.8 The student will solve real-world problems involving right triangles by using the Pythagorean
Theorem and its converse, properties of special right triangles, and right triangle trigonometry.
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Unit 8. Right Triangles. G.8 The student will solve real-world problems ... properties of special right triangles, and right triangle trigonometry.
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2022/2023
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Unit 8
Right Triangles
G.8 The student will solve real-world problems involving right triangles by using the Pythagorean Theorem and its converse, properties of special right triangles, and right triangle trigonometry.
Notes Day 1 Pythagorean Theorem This should be familiar; we use Pythagorean Theorem to find _____________. Can these sides make a right triangle? (Y or N) 3, 4, 5 ______________ 6, 8, 10 _______________ 6, 7, 10 ______________ 4, √241, √257 ______________ Finding a missing hypotenuse Finding a missing leg Today I will use Pythagorean Theorem, and its converse, so that I solve real world problems for missing sides or lengths. I will know that I have it when I can get 7 out of 10 correct on the MathLib.
Notes Day 2 Trigonometry ( ___ , ___ , ___ ) Important Vocabulary: Hypotenuse - ________________________________________________ Adjacent - ___________________________________________________ Opposite - ___________________________________________________ Setting up Trig Ratios:
Using Trig to solve for missing sides:
- Circle the _________
- Identify (and mark) the ___________
- Identify (and mark) the ___________
- Identify (and mark) the ___________
- Set your ratio
- Cross multiply Examples: Today I use trigonometric ratios, so that I can solve real world problems involving finding the measurements of missing sides. I will know that I have it when I can correctly solve for the missing side using trigonometry on 4 out of 5 opportunities.
Notes Day 3 SIN = COS = TAN = What happens when you need to find the angle? _______________ Using Trig to solve for missing angles (not much different):
- Circle the _________
- Identify (and mark) the ___________
- Identify (and mark) the ___________
- Identify (and mark) the ___________
- Set your ratio
- Put it inside the parenthesis (On calculator: 2ND^ & Trig function) Examples:
VDOE Released Test Items (2014-15)
Homework Day 1: Pythagorean Theorem
Homework Day 2: Trigonometry