Pythagorean Theorem Word Problems Challenge

The video tutorial explains how to solve two word problems using the Pythagorean theorem. The first problem involves calculating the straight-line distance from a starting point after driving north and east, forming a right triangle. The second problem involves determining the height of a TV given its diagonal and width, again using the Pythagorean theorem to find the missing side of a right triangle.

What is the straight-line distance from the starting point after driving north for 21 miles and then east for 20 miles?

• 20 miles

• 41 miles

• 29 miles

• 21 miles

Which theorem is used to calculate the straight-line distance in the journey problem?

• Pythagorean theorem

• Theorem of Similarity

• Euclidean theorem

• Fermat's Last Theorem

What are the lengths of the legs in the journey problem?

• 21 miles and 29 miles

• 21 miles and 20 miles

• 29 miles and 20 miles

• 20 miles and 20 miles

How is the diagonal length of a TV advertised?

• From one corner to the opposite corner

• Width plus height

• Twice the width

• Twice the height

What is the height of a TV with a diagonal of 34 inches and a width of 30 inches?

• 16 inches

• 20 inches

• 18 inches

• 22 inches

Which side of the triangle is represented by the diagonal length of the TV?

• The hypotenuse

• The height

• The base

• The area

What formula is applied to find the height of the TV?

• a^2 + b^2 = c^2

• a/b = c

• a^2 - b^2 = c^2

• 2a + 2b = c

What is the result of squaring the width (30 inches) in the TV problem?

• 700

• 800

• 1000

• 900

After subtracting the squared width from the squared diagonal, what value do we get in the TV problem?

• 266

• 286

• 256

• 276

What mathematical operation is performed last to find the height of the TV?

• Multiplication

• Addition

• Subtraction

• Square root