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Supplemental #11 Similarity in Right Triangles (7/8/20) Due 7/9/20 @3pm

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Essential Question: How does the altitude to the hypotenuse of a right triangle help you use similar right triangles to solve problems?

Learning Target: Student will be able to recognize the parts of a right triangle and them to solve similarity problems involving similar right triangles.

Show your work and use complete sentences for full credit.

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1.

What proportion can be written to find the value of x?

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2.

What equation can be written to find the value of x?

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4.

How can you find the value of c?

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7.

Identify the different parts of the right triangle.

  • j

  • p

  • g

  • Leg

  • Hypothenuse

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8.

Identify the hypotenuse of the triangle.

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9.

Match the each squared number to its simplified expression

Draggable itemarrow_right_altCorresponding Item

6²

arrow_right_alt

25

8²

arrow_right_alt

36

3²

arrow_right_alt

64

5²

arrow_right_alt

49

7²

arrow_right_alt

9

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10.

Match the each squared root to its approximate decimal form.

Draggable itemarrow_right_altCorresponding Item

√12

arrow_right_alt

4

√16

arrow_right_alt

3.16

√144

arrow_right_alt

3

√9

arrow_right_alt

8

√8

arrow_right_alt

3.46

√10

arrow_right_alt

5

√64

arrow_right_alt

2.83

√25

arrow_right_alt

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11.

What is the value of c² in the following equation?

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12.

What is the value of c in the following equation?

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13.

Which is the correct way to use the Pythagorean Theorem to solve for h?

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14.

Use the Pythagorean Theorem to solve for h. Express in radical form.

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15.

Find the length of the unknown side in the right triangle.

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16.

Which is the correct way to use the Pythagorean Theorem to solve for the hypotenuse?

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17.

What is the length of the hypotenuse?

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18.

Find the geometric mean of the given numbers. Use desmos to help you.

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24.

Use the diagram to complete each equation.

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25.

Use the diagram to complete each equation.

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26.

Use the diagram to complete each equation.

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27.

Find x, y, and z.

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28.

Find x, y, and z.

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3.

Solve for x.

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5.

What equation can be written to

find the value of y ?

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6.

Solve for y.

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19.

Find the geometric mean of the given numbers. Use desmos to help you.

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20.

Find the geometric mean of the given numbers. Use desmos to help you.

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21.

Find the missing length in the right triangle:

EH = 6, GH = 3, FH = ___________

Round your answer to the nearest hundreth.

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22.

Find the missing length in the right triangle:

EH = 12, FH = 6, HG = ___________

Round your answer to the nearest hundreth.

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23.

Find the missing length in the right triangle:

EG = 19, EH = 15, FH = ___________

Round your answer to the nearest hundreth.