# Lesson 10

Drawing Triangles (Part 2)

### Problem 1

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many unique triangles can be drawn that fit that description? Explain or show your reasoning.

### Solution

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### Problem 2

A triangle has one side that is 5 units long and an adjacent angle that measures \(25^\circ\). The two other angles in the triangle measure \(90^\circ\) and \(65^\circ\). Complete the two diagrams to create two *different* triangles with these measurements.

### Solution

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### Problem 3

Is it possible to make a triangle that has angles measuring 90 degrees, 30 degrees, and 100 degrees? If so, draw an example. If not, explain your reasoning.

### Solution

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### Problem 4

Segments \(CD\), \(AB\), and \(FG\) intersect at point \(E\). Angle \(FEC\) is a right angle. Identify any pairs of angles that are complementary.

### Solution

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(From Unit 7, Lesson 2.)### Problem 5

Match each equation to a step that will help solve the equation for \(x\).

### Solution

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(From Unit 5, Lesson 15.)### Problem 6

- If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?
- If you leave this money in the account, how much will be in your account after 2 years?

### Solution

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(From Unit 4, Lesson 8.)