Finding the length of a triangle using algebraic expression and perimeter - Online tutor

The video tutorial explains how to solve a word problem involving the lengths of a triangle's sides. The first side is twice the length of the second, and the third side is 7 more than the second. The teacher guides through drawing a triangle, assigning variables, setting up equations, and solving them to find the side lengths. The solution involves algebraic expressions and understanding the perimeter of the triangle.

Why is it helpful to draw a picture when solving a word problem?

• It makes the problem more colorful.

• It helps organize and visualize the problem.

• It provides an exact solution.

• It is a requirement in all math problems.

What is the first step in solving the triangle side length problem?

• Guess the lengths of the sides.

• Draw a picture of the triangle.

• Calculate the perimeter directly.

• Assign a variable to one of the sides.

Which side is chosen to represent the variable X?

• The second side

• The longest side

• The third side

• The first side

How is the first side related to the second side?

• It is half the length of the second side.

• It is twice the length of the second side.

• It is the same length as the second side.

• It is three times the length of the second side.

What is the equation used to find the perimeter of the triangle?

• X + X + 7 = 37

• 2X + X + 7 = 37

• 2X + 2X + 7 = 37

• X + 2X + X + 7 = 37

What is the length of the second side after solving the equation?

• 12.5

• 13.5

• 11.5

• 10.5

What is the length of the third side of the triangle?

• 21.5

• 20.5

• 19.5

• 18.5