Lesson 10
Drawing Triangles (Part 2)
Let’s draw some more triangles.
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.
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.

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.
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.

Problem 5
Match each equation to a step that will help solve the equation for \(x\).
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?