Ship Navigation and Triangle Measurements

This video tutorial covers solving word problems using the Pythagorean theorem. It includes two main problems: calculating the distance of a ship from its port and finding the perimeter of a triangle on a grid. The tutorial demonstrates how to apply the theorem to find the hypotenuse and solve for unknown sides, emphasizing the importance of understanding right triangles in practical scenarios.

What is the initial direction of the ship's journey from the port?

• North

• South

• East

• West

After traveling east, in which direction does the ship turn?

• North

• East

• West

• South

Tags

CCSS.5.G.A.2

What is the length of the ship's journey eastward?

• 50 km

• 75 km

• 100 km

• 125 km

Tags

CCSS.5.G.A.2

How far does the ship travel south after turning?

• 125 km

• 100 km

• 75 km

• 50 km

Tags

CCSS.8.G.B.8

What is the calculated distance of the ship from the port?

• 100 km

• 125 km

• 110 km

• 120 km

Tags

CCSS.6.G.A.3

What is the length of the vertical side of the triangle on the grid?

• 3 units

• 4 units

• 2 units

• 1 unit

Tags

CCSS.6.G.A.3

What is the length of the base of the triangle on the grid?

• 1 unit

• 3 units

• 4 units

• 2 units

Tags

CCSS.8.G.B.7

What is the length of the hypotenuse of the triangle on the grid?

• 4.0 units

• 3.1 units

• 3.6 units

• 2.5 units

What is the perimeter of the triangle on the grid?

• 10.61 units

• 7.61 units

• 8.61 units

• 9.61 units

Tags

CCSS.8.G.B.8

Which formula is used to calculate the hypotenuse in these problems?

• a^2 / b^2 = c^2

• a^2 * b^2 = c^2

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

Tags

CCSS.8.G.B.8