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

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Last updated about 2 hours ago
28 questions
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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.

10
Question 1
1.

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

10
Question 2
2.

10
10
10
10
Question 7
7.

Identify the different parts of the right triangle.

  • j
  • p
  • g
  • Leg
  • Hypothenuse
Question 8
8.


Identify the hypotenuse of the triangle.

Question 9
9.

Match the each squared number to its simplified expression

Draggable itemarrow_right_altCorresponding Item
5²
arrow_right_alt
25
6²
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 10
10.

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 11
11.

What is the value of c² in the following equation?

Question 12
12.

What is the value of c in the following equation?

Question 13
13.

Question 14
14.

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

Question 15
15.

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



Question 16
16.

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


Question 17
17.

What is the length of the hypotenuse?


10
Question 18
18.

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

10
10
10
10
10
Question 24
24.

Use the diagram to complete each equation.



Question 25
25.

Use the diagram to complete each equation.




Question 26
26.

Use the diagram to complete each equation.





Question 27
27.

Find x, y, and z.

Question 28
28.

Find x, y, and z.

What equation can be written to find the value of x?
Question 3
3.

Solve for x.

Question 4
4.

How can you find the value of c?

Question 5
5.

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

Question 6
6.

Solve for y.

36
8²
64
7²
49
3²
9
Match the each squared root to its approximate decimal form.
√144
4
√8
3.16
√64
3
√16
8
√25
3.46
√9
5
√10
2.83
√12
12
Which is the correct way to use the Pythagorean Theorem to solve for h?
Question 19
19.

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

Question 20
20.

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

Question 21
21.

Find the missing length in the right triangle:
EH = 6, GH = 3, FH = ___________
Round your answer to the nearest hundreth.

Question 22
22.

Find the missing length in the right triangle:
EH = 12, FH = 6, HG = ___________
Round your answer to the nearest hundreth.

Question 23
23.

Find the missing length in the right triangle:
EG = 19, EH = 15, FH = ___________
Round your answer to the nearest hundreth.