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

The video tutorial explains how to determine the perimeter of a triangle by adding its sides. It introduces the concept of ratios and equivalent ratios, demonstrating how to find a scalar factor to solve for unknowns. The tutorial concludes with calculating the side lengths of a triangle using the scalar factor.

How do you calculate the perimeter of a triangle?

• Subtract the lengths of the sides

• Add the lengths of the sides

• Multiply the lengths of the sides

• Divide the lengths of the sides

What does it mean when two sets of numbers have the same ratio?

• They are divided to get the same quotient

• They are subtracted to get the same difference

• They are multiplied by the same scalar factor

• They are added to get the same sum

What is the purpose of finding a scalar factor in the context of triangle side ratios?

• To determine the area of the triangle

• To calculate the height of the triangle

• To find the missing angles of the triangle

• To adjust the side lengths to match a given perimeter

If the ratio of the sides of a triangle is 3:5:7, what is the scalar factor if the perimeter is 450?

• 10

• 30

• 45

• 15

After finding the scalar factor, how do you determine the actual side lengths of the triangle?

• Subtract the scalar factor from each ratio

• Multiply each ratio by the scalar factor

• Divide each ratio by the scalar factor

• Add the scalar factor to each ratio