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

The video tutorial explains how to find the actual side lengths of a triangle given the ratio of its sides and the perimeter. It begins by discussing the concept of ratios and their simplification using angles as an example. The tutorial then demonstrates how to solve for actual angles from simplified ratios. Finally, it calculates the actual side lengths of the triangle by setting up an equation with a reduction factor and solving it to match the given perimeter.

What is the perimeter of a triangle?

• The difference between the longest and shortest sides

• The product of all the side lengths

• The average of all the side lengths

• The sum of all the side lengths

How do you simplify the ratio of angles 45, 45, and 90?

• 2:2:4

• 3:3:6

• 1:1:2

• 4:4:8

What equation would you set up to find the actual angles if the ratio is 1:1:2?

• X + 2X + 3X = 180

• X + X + X = 180

• 2X + 2X + 2X = 180

• X + X + 2X = 180

What is the reduction factor if the ratio of sides is 9:7:5 and the perimeter is 191 inches?

• 10.1

• 11.1

• 9.1

• 8.1

How do you calculate the actual side lengths from the ratio 9:7:5?

• Subtract the smallest ratio number from the largest

• Divide the perimeter by the sum of the ratio numbers

• Multiply each ratio number by the reduction factor

• Add the ratio numbers and multiply by the perimeter

What should the sum of the calculated side lengths equal?

• The sum of the ratio numbers

• The given perimeter

• The smallest side length

• The largest side length

Why is it important to verify the calculated side lengths?

• To confirm they add up to the given perimeter

• To check if they form a right triangle

• To ensure they are all equal

• To see if they are in ascending order