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 diagram, assigning variables, setting up equations, and solving them to find the side lengths: 12.5, 25, and 19.5.

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

• It is a requirement for all math problems.

• It makes the problem easier to remember.

• It helps organize and visualize the problem.

• It makes the problem more colorful.

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

• Assigning a variable to each side.

• Drawing a picture of the triangle.

• Guessing the lengths of the sides.

• Calculating the perimeter.

Which side is chosen to represent the variable X?

• The side with the longest length.

• The second side.

• The first side.

• The third side.

How is the first side related to the second side?

• It is the same length.

• It is twice the length.

• It is half the length.

• It is three times the length.

What equation is set up to find the perimeter of the triangle?

• 2X + X + 7 = 37

• 2X + 3X + 7 = 37

• X + 2X + X + 7 = 37

• X + X + 7 = 37

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

• 10.5

• 11.5

• 12.5

• 13.5

What is the length of the third side?

• 18.5

• 19.5

• 20.5

• 21.5