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Warm-up D A 60 feet C B 90 feet. A person is standing at point A cheering on his favorite team. Round to nearest tenth. Find the height AB.
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UNIT QUESTION: What patterns can I find in right triangles?
Math II UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: How do we solve 45°-45°-90° right triangles? Standard: MM2G1.b
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5.1 Special Right Triangles
Learning Task – Part 2
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5.1 Special Right Triangles
You will be able to find the lengths of sides of special right triangles And
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Special Right Triangles
Leg:Leg:Hypotenuse
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LEGS ARE THE SAME LENGTH
In a triangle… LEGS ARE THE SAME LENGTH We will use a reference triangle to set up a proportion then solve.
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This is our reference triangle for the 45-45-90.
Right Triangle 1 1 This is our reference triangle for the
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Right Triangle x x
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EX: 1 Solve for x x a√2 a 3 a 3
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EX: 2 Solve for x x a√2 a 5 a 5
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EX: 3 Solve for x 45 3 a√2 a a x
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Area = 72 in.2 Extension Problem
The diagonal of a square is 12 inches. Find the area. Round to the nearest tenth. 12 in. Area = 72 in.2
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Homework Page 153 #1-9, 23-24
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