Math: Drawing triangles.

Question

Find three objects( sticks, utensils, yarn, toys, books, etc.) that could represent the sides of a triangle. Can you make a triangle with these objects? Could you use the Triangle Inequality Theorem to explain why or why not?

Then: Measurements of each object:

Application of Triangle Inequality Theorem:

Answer 1

Let's say the three objects are sticks with lengths of 5 inches, 8 inches, and 12 inches.

According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, 5 + 8 = 13 which is greater than 12,
8 + 12 = 20 which is greater than 5,
and 5 + 12 = 17 which is greater than 8.

Therefore, we can make a triangle with these sticks since the Triangle Inequality Theorem is satisfied for all combinations of the three sides.

Answer 2

Decide if you want to make an acute, obtuse, or right triangle. Select three angle
measures. How is the Triangle Angle Sum Theorem important for creating triangles?
How many triangles can you make with three angle measures? Using your ruler and
protractor, draw one or more (if possible) examples.