Introduction to the Pythagorean Theorem

What is the area of the square built on the hypotenuse of a triangle with legs 4 feet and 3 feet?

• 12 square feet

• 16 square feet

• 25 square feet

• 49 square feet

What is the purpose of taking the square root in the process of solving for a side length using the Pythagorean theorem?

• To double the value of the side length

• To eliminate the exponent and solve for the side length

• To reduce the equation to its simplest form

• To find the area of the triangle

What is the length of x?

• 5

• 7

• 8

• 25

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 30 cm²

• 15 cm²

• 315 cm²

• 45 cm²

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 13

• 17

• 7

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 75 cm²

• 105 cm²

• 135 cm²

• 30 cm²