Find the measure for the sides of an equilateral triangle

The video tutorial explains how to find the missing variable in an equilateral triangle. The teacher guides students through setting up an equation based on the properties of equilateral triangles, where all sides are equal. By solving the equation, the value of the variable Y is determined. This value is then used to calculate the lengths of each side of the triangle, confirming that they are equal, as expected in an equilateral triangle. The tutorial concludes with a recap of the process and an invitation for students to try a similar problem on their own.

What is a key property of an equilateral triangle?

• All sides are equal.

• It has two equal sides.

• All angles are different.

• It has one right angle.

Which equation can be used to find the value of Y in the triangle?

• Y - 5 = 2Y + 8

• 3Y + 5 = 2Y - 8

• 2Y + 5 = 3Y - 8

• Y + 5 = 2Y - 8

What is the value of Y after solving the equation?

• 10

• 12

• 5

• 8

How do you calculate the side length FG using the value of Y?

• 2Y + 5

• 3Y - 3

• 5Y - 19

• Y + 8

What is the final side length of each side in the equilateral triangle?

• 29

• 24

• 21

• 16