Heron's Formula and Sailboat Construction

The video tutorial explains the application of Heron's formula to calculate the area of triangular sails. Zubin and his son Sid consult David about sailboat fabric. David provides the dimensions of the sails, and Sid uses Heron's formula to calculate the area of both the smaller and larger sails. The tutorial concludes with a recap of the process.

What is Heron's formula used for?

• Determining the volume of a cube

• Calculating the perimeter of a triangle

• Measuring the length of a rectangle

• Finding the area of a triangle

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CCSS.RI.6.3

CCSS.RI.7.3

CCSS.RI.8.3

CCSS.RI.9-10.3

CCSS.RL.5.3

What materials did David mention are used for making sails?

• Nylon and polyester

• Leather and canvas

• Silk and linen

• Cotton and wool

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CCSS.RI.11-12.3

CCSS.RI.6.3

CCSS.RI.7.3

CCSS.RI.8.3

CCSS.RI.9-10.3

Why did Zubin and Sid visit David?

• To sell their old sailboat

• To learn about sailboat navigation

• To get advice on building a sailboat

• To purchase a sailboat

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CCSS.7.G.B.6

What are the dimensions of the smaller sail?

• 20 meters, 15 meters, and 10 meters

• 15 meters, 10 meters, and 6 meters

• 12 meters, 11 meters, and 5 meters

• 25 meters, 20 meters, and 15 meters

What is the first step Sid takes to calculate the area of the smaller sail?

• Estimates the weight of the sail

• Measures the angles of the sail

• Draws a diagram of the sail

• Calculates the semi-perimeter

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CCSS.6.G.A.1

What is the calculated area of the smaller sail?

• 30.5 square meters

• 29.5 square meters

• 25.5 square meters

• 27.5 square meters

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CCSS.3.MD.D.8

What is the semi-perimeter of the larger sail?

• 46.5 meters

• 44.5 meters

• 50.5 meters

• 40.5 meters

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CCSS.7.G.B.6

What is the area of the larger sail calculated by Sid?

• 166.9 square meters

• 160.9 square meters

• 156.9 square meters

• 150.9 square meters

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CCSS.7.G.B.6

How much cloth is required for the smaller sail?

• 27.5 square meters

• 29.5 square meters

• 30.5 square meters

• 25.5 square meters

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CCSS.7.G.B.6

How much cloth is required for the larger sail?

• 166.9 square meters

• 160.9 square meters

• 156.9 square meters

• 150.9 square meters

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CCSS.7.G.B.6