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Exploration 5: Equilateral and Isosceles Triangles

Exploration 5

On the left is an equilateral triangle. An equilateral triangle is a triangle with three equal length sides.  On the right is an isosceles triangle. An isosceles triangle is a triangle with two equal length sides. Change the side lengths of the triangle by using the Slider. Then, answer the questions at the bottom.

Question 1

What do you notice about the angle measurements of different sized equilateral triangles?

Question 2

If a triangle as two 60 degree angles, what must be true about the side lengths of that triangle?

Question 3

When interacting with the isosceles triangle, does the observation you made in Exploration 4 stay true?

Drawing Task

Find the fact that this exploration helps us visualize, and draw a visual on your UNIT 1 Fact Sheet B.