Exploring Pythagorean Theorem Story Problems

The video begins with a public service announcement about Mother's Day, encouraging students to think of ways to appreciate their mothers. The lesson then transitions to the Pythagorean Theorem, explaining its formula and application through various story problems. These include calculating the length of a ladder, the height of a ramp, the distance from the top of a tree to the end of its shadow, and the width of a TV. Each problem is solved step-by-step using the Pythagorean Theorem, with emphasis on drawing diagrams and substituting values into the formula.

What is a simple way to show appreciation for your mother on Mother's Day without spending money?

• Ignore the day

• Buy her expensive jewelry

• Take her on a vacation

• Clean the house

What is the formula for the Pythagorean theorem?

• a^2 * b^2 = c^2

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b = c^2

What does the 'c' in the Pythagorean theorem formula represent?

• The length of the hypotenuse

• The perimeter of the triangle

• The area of the triangle

• The length of one of the legs

What is required for each of the story problems discussed in the video?

• A picture of a triangle with labeled sides

• A table of values

• A written explanation

• A graph

If a ladder is 4 feet from the base of the house and reaches a window 20 feet high, how long is the ladder?

• 20.40 feet

• 24 feet

• 16 feet

• 22 feet

What practical application does the Pythagorean theorem have?

• Calculating the volume of a cylinder

• Measuring the speed of an object

• Solving for distances in right-angled triangles

• Determining the density of a substance

For a 12-foot loading ramp covering 10 feet of ground, what is the ramp's height?

• 5 feet

• 6.32 feet

• 7 feet

• 6.63 feet

How far is it from the top of a 24-foot tree to the top of its 7-foot long shadow?

• 30 feet

• 25 feet

• 20 feet

• 28 feet

How can the Pythagorean theorem be used in everyday life?

• To measure the depth of a pool

• To find the shortest path between two points

• To determine the height of a building

• To calculate internet speeds

What is the width of a 27-inch TV if its height is 15 inches?

• 22.45 inches

• 24 inches

• 18 inches

• 20 inches