Given the ratio of sides and perimeter of a triangle find the lengths

The video tutorial explains how to find the lengths of the sides of a triangle given its perimeter and the ratio of its sides. The teacher guides students through understanding the concept of perimeter, exploring equivalent ratios, and solving the problem using algebraic methods. The solution involves setting up an equation based on the given ratio and perimeter, solving for the unknown factor, and calculating the side lengths.

What is the perimeter of a triangle?

• The average of its sides

• The difference between its longest and shortest sides

• The sum of its sides

• The product of its sides

If the ratio of the sides of a triangle is 5:6:9, what does it mean?

• The sides are equal

• The perimeter is 20 units

• The sides are in proportion to 5, 6, and 9

• The sides are 5, 6, and 9 units long

How can you create an equivalent ratio?

• By dividing each term by a different factor

• By adding the same number to each term

• By subtracting the same number from each term

• By multiplying each term by the same factor

What is the value of X if 5X + 6X + 9X = 220?

• 13

• 12

• 11

• 10

What are the lengths of the sides of the triangle if X = 11?

• 45, 54, 81

• 60, 72, 108

• 50, 60, 90

• 55, 66, 99