Warm-up

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A A person is standing at point A cheering on his favorite team. Round to nearest tenth. a) Find the height AB. B D C 90 feet. 60 feet

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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. Math II. UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: - PowerPoint PPT Presentation

Transcript of Warm-up

Page 1: Warm-up

A

A person is standing at point A cheering on his favorite team. Round to nearest tenth.

a) Find the height AB.

B

D

C

90 feet.

60 feet

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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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Learning Task – Part 2

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You will be able to find the lengths of sides of special right triangles

30-60-90

And

45-45-90

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904545 2:1:1

Leg:Leg:Hypotenuse2:: xxx

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In a 45-45-90 triangle…

We will use a reference triangle to set up a proportion then solve.

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45-45-90 Right Triangle

1

1This is our reference triangle for the 45-45-90.

2

45

45

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45-45-90 Right Triangle

x

x

2x

45

45

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3

3

x

EX: 1 Solve for x

3 2x

a√2a

a

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5

5

x

5 2x

EX: 2 Solve for x

a√2a

a

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x

345

EX: 3 Solve for x

x 3 2

2

a√2a

a

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Extension Problem

The diagonal of a square is 12 inches. Find the area. Round to the nearest tenth.

Area = 72 in.2

12 in.

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