Word Problems involving Pythagorean TheoremUntitled Presentation

Q2: LESSON 15
Word Problems involving
Pythagorean Theorem

Multiple Choice

Which of the following is a key concept needed to understand the Pythagorean Theorem?

• Understanding right triangles

• Knowing how to multiply fractions

• Recognizing parallel lines

• Identifying acute angles

Open Ended

Why is the Pythagorean Theorem important in solving word problems involving distances and measurements?

Multiple Choice

What is the value of 12 squared?

• 144

• 24

• 120

• 124

Multiple Choice

What is the value of 15 squared?

• 225

• 30

• 150

• 215

Multiple Choice

What is the value of 9 squared?

• 81

• 18

• 90

• 99

Multiple Choice

What is the value of 11 squared?

• 121

• 22

• 110

• 111

Multiple Choice

What is the value of 20 squared?

• 400

• 40

• 200

• 220

Fill in the Blank

Extract the root: The square root of 100 is ___

Fill in the Blank

What is the square root of 121?

Fill in the Blank

What is the square root of 169?

Multiple Choice

Which of the following numbers is a perfect square?

• 121

• 130

• 135

• 140

Multiple Choice

Which of the following numbers is a perfect square?

• 625

• 139

• 135

• 1260

Fill in the Blank

Find the missing side of the triangle with sides 5m and 3m.

Open Ended

How does extracting square roots help in solving for missing sides in right triangles?

Fill in the Blank

Find the missing side of the triangle with sides 7m and 9m.

Fill in the Blank

Find the missing side of the triangle with legs of 5 inches and 7 inches.

Multiple Choice

Which formula is used to find the length of the hypotenuse in a right triangle?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = 2c^2

• a^2 + c^2 = b^2

Multiple Select

Select all scenarios where the Pythagorean Theorem can be applied.

• Finding the diagonal of a rectangle

• Finding the height of a triangle when the base and hypotenuse are known

• Finding the area of a circle

• Finding the perimeter of a square

Open Ended

Is the label on the TV box correct? Explain how you can verify it using the dimensions provided.

Fill in the Blank

What is the length of the hypotenuse of the right triangle with leg lengths of 15 inches and 20 inches.

Multiple Choice

Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2 meters away from the base of the tree. Find the length of the tree.

• 2 meters

• √32 meters

• 6 meters

• 4 meters

Multiple Choice

In a right triangle, given that c = 13 ft and a = 5 ft, what is the measure of b?

• 12 ft

• 8 ft

• 10 ft

• 9 ft

Open Ended

Explain how the Pythagorean Theorem can be used to solve real-world problems, such as finding the height a ladder reaches on a wall or the length of a rectangle's diagonal.

Open Ended

What questions do you still have about solving word problems using the Pythagorean Theorem?

Open Ended

How can you apply the Pythagorean Theorem to solve real-life word problems?