Lesson 10: Drawing Triangles (Part 2) | Unit 7: Angles, Triangles, and Prisms

Open Ended

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.

Draw

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.

Open Ended

Is it possible to make a triangle that has angles measuring 90 degrees, 30 degrees, and 100 degrees? Explain your reasoning.

Draw

If it is possible to make a triangle with angles measuring 90 degrees, 30 degrees, and 100 degrees, draw an example.