# 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.

### 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.

### Solution

(From Unit 7, Lesson 2.)

### Problem 5

Match each equation to a step that will help solve the equation for $$x$$.