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Day 3 Practice with Special Right Triangles and Pythagorean Theorem & Converse a b c a b c a b c

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Page 1: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

Day 3Practice with

Special Right Triangles andPythagorean Theorem & Converse

a

b

c

a

b

ca

b

c

Page 2: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

4)3)2)

1)

Tuesday, Day 3Warm-Up Part 1

Page 3: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

Warm-Up

Part 2

Page 4: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

4)3)2)

1)

Tuesday, Day 3Warm-Up Part 1 Answers

Page 5: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

Warm-Up

Part 2

Answers

4 2 m

8 m

Page 6: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

HW Discussion

• Sheet on Weebly “HW After Unit 4B Test”

Page 7: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

Remember to study for the quiz!

• One focus for your studying should be on what cues to look for in problems to know what method to use

• Use the Working a Right Triangle sheet as a reference

Page 8: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

Practice for the quiz!

• Working a Right Triangle sheet (skip the bottom one for now)

• Done early – start the practice sheet

Page 9: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

PracticeClassify the Triangle

1. 2.

Solve for the variables

3. 4..

X

79

13y

5 13,1,

12 122 3,3 2, 4

w

Page 10: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

2 3,3 2, 4

Convert the numbers back to radicalsOR Use calculator to find the biggest side. 12, 18, 4

2 3, 4 are the shortest lengths

2 2 2

3 2 ___ 2 3 4

18 12 4 The triangle is obtuse

Practice Answers: Classify the Triangle5 13

,1,12 12

These numbers are 5, 12, 13 all divided by the same number. Therefore, they are also a

Pythagorean Triple and it is a right triangle.

1)

2)

Page 11: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

Practice Answers

Solve for the variables

3. 4.

2 22y

137x

X

79

13y w

4 3y 4x

4 3

3z

8 3

3w

Page 12: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

More Practice a

b

ca

b

ce

Is the given triangle right, acute, obtuse,

or not possible?

1. 3, 45 ,6 2. 10, 12, 16 3. 3, 6, 9

4. An equilateral triangle has 16 cm sides. Find the altitude.

5. Find the perimeter of a square with a 15 inch diagonal.

Find the value of the variables

6. 7.

Page 13: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

More Practice Answersa

b

ca

b

ce

Is the given triangle right, acute, obtuse,

or not possible?

1. 3, 45 ,6 2. 10, 12, 16 3. 3, 6, 9

4. An equilateral triangle has 16 cm sides. Find the altitude.

8 3 cm

( ...

!)

WATCH sides may

not beinord

ri ht

er

g obtuse (3 6 9,

3 6 9)

but

should

n

b

ot possible

e

Page 14: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

More Practice Answers a

b

ca

b

ce

5. Find the perimeter of a square with a 15 inch diagonal.

Find the value of the variables

6. 7.

2 3y 2 3

3x

4 3

3v 4z 7 3x 60y

30 2 inches

Page 15: Day 3hm2ghhs.weebly.com/uploads/8/6/7/7/86777830/notes_day_3_practi… · 2 3,3 2, 4 Convert the numbers back to radicals OR Use calculator to find the biggest side. 12, 18, 4 2 3,

Practice Day 3 Sheet

Do Right Side #8-18 first!!

(Practice with Special Right Triangles and

Converse of Pythagorean Theorem and Related Theorems)

a

b

c

a

b

ca

b

c