Triangle Perimeter and Side Relationships

The video tutorial explains how to solve a word problem involving the perimeter of a triangle. The problem states that the perimeter is 71 cm, with the first side being 3 cm shorter than the second, and the third side twice as long as the first. The tutorial guides viewers through defining variables, setting up equations, and solving them to find the lengths of the sides. The longest side is determined to be 34 cm.

What is the total perimeter of the triangle given in the problem?

• 20 cm

• 68 cm

• 71 cm

• 34 cm

How is the first side related to the second side?

• It is twice as long as the second side.

• It is three centimeters shorter than the second side.

• It is equal to the second side.

• It is three centimeters longer than the second side.

What is the relationship between the third side and the first side?

• The third side is half the length of the first side.

• The third side is three times the length of the first side.

• The third side is twice the length of the first side.

• The third side is equal to the first side.

Which variable is used to represent the first side of the triangle?

• s

• t

• x

• f

What equation represents the perimeter of the triangle?

• s + t = f

• f + t = s

• f + s = t

• f + s + t = 71

How can the second side be expressed in terms of the first side?

• s = 2f

• s = f + 3

• s = f

• s = f - 3

What is the value of the first side after solving the equation?

• 17 cm

• 34 cm

• 20 cm

• 71 cm

What is the length of the second side?

• 20 cm

• 17 cm

• 34 cm

• 71 cm

What is the length of the third side?

• 71 cm

• 20 cm

• 34 cm

• 17 cm

Which side is the longest?

• First side

• Second side

• All sides are equal

• Third side