# 9.2.1 #1 Side Lengths and Triangles Homework

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9.2.1 #1 Side Lengths and Triangles Homework
```9.2.1 #1 Side Lengths and Triangles
Homework
Name _______________________________________ Date ______________ Period ______
Work through each of the problems below to practice the concepts from today’s lesson and
review concepts from previous lessons. Then review AND FIX work your work using the class
website. Be sure to always show all work!
9-56. The two triangles at right are similar.
a. How do you know they’re similar?
b. Find x. Show your strategy.
c. What is the scale factor?
d. Find the area of each triangle.
9-57. Jenna is working with three squares. Their areas are 16 cm2, 9 cm2, and 36 cm2. She
thinks they will make an obtuse triangle. Do you agree? Explain your reasoning.
9-58. Complete the following table.
b. What is the slope?
a. What is the rule?
9-59. Write an equation to represent the situation below, and then answer the question.
Ella is trying to determine the side lengths of a triangle. She knows that the longest side is
three times longer than the shortest side. The medium side is ten more than twice the
shortest side. If the perimeter is 142 cm, how long is each side?
9-60. Cisco was looking at a table of values from a silent board game of y = x2. She said, "This
table contains (0, 0), so I think it shows a proportional relationship.” Is Cisco correct? Why or
why not?
9-61. Solve these equations for x. Check your answers.
a. 2(x + 4.5) = 32
b. 6 + 2.5x = 21
c.
```
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