Pythagorean Theorem Word Problems Challenge

The video tutorial covers the application of the Pythagorean theorem to solve word problems. It emphasizes the importance of drawing a picture to set up the problem. Two examples are provided: one involving triangle coordinates and another involving a helicopter's flight path. The tutorial explains how to identify the right angle and calculate the hypotenuse using the theorem. It also highlights the need to pay attention to the specific question being asked in word problems.

What formula represents the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• 2a + 2b = c

• a/b = c^2

What is the first step in solving word problems involving the Pythagorean theorem?

• Calculate the hypotenuse immediately.

• Draw a picture to set up the problem.

• Solve for one of the legs of the triangle.

• Identify the right angle in the problem.

How do you find the length of a leg in a triangle when it's aligned with the grid?

• Estimate the length visually.

• Multiply the coordinates.

• Count the number of squares along the leg.

• Use the Pythagorean theorem.

What is the length of the hypotenuse for the triangle with sides of 4 and 5 units?

• 3 units

• 20 units

• 9 units

• 6.40 units

In the helicopter problem, what direction does the helicopter initially fly?

• West

• North

• East

• South

How far does the helicopter fly east in the story problem?

• 34 miles

• 10 miles

• 24 miles

• 26 miles

What shape is formed by the helicopter's path in the story problem?

• Circle

• Right triangle

• Rectangle

• Square

What is the distance of the helicopter's last leg back to its starting point?

• 24 miles

• 26 miles

• 10 miles

• 34 miles

What might a story problem ask besides the length of the third side?

• Color of the triangle

• Total distance traveled

• Name of the theorem used

• Height of the triangle

What hint is given for Wednesday's activity?

• It will involve a new theorem.

• It will be an open-book test.

• It will cover the same problems discussed.

• It will require drawing complex shapes.