Pythagorean Theorem and the Distance Formula

Which equation can be used to solve for "x"?

• 15² + x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² + x² = 15²

_{^{Find the missing side}}

• 9

• 26.9

• 37

• 18.2

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 6.2

Solve for y

• 13

• 5

• 23

• 10

Find the distance between (2,3) & (4,1) Plot points and use pythagorean theorem.

• 3

• 5.66

• 2.83

• 2.79

Snowcat Ridge Alpine Snow Park, the fi rst outdoor snow park in Florida, opened in Dade City in 2020. The park features a snow tubing hill shown below. Find the distance x from the top of the hill to the bottom.

Round to the nearest hundredths place.

Mathematical Equivalence

ON

The distance from Megan to the point on the ground directly below the kite is ​ ​ (a)   ​ ​ ​​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

• 80 yd

• 60 yds

• 240 yd

• 120 yd

Snowcat Ridge Alpine Snow Park, the fi rst outdoor snow park in Florida, opened in Dade City in 2020. The park features a snow tubing hill shown below. Find the distance x from the top of the hill to the bottom. Round to the nearest hundredths place.

Mathematical Equivalence

ON

Use the Pythagorean Theorem to find XY. Leave the answer in simplest radical form. X(0,-5) Y(-7,4)

• 11.4

Graphed in the standard (x,y) coordinate plane below is a right triangle with vertices (0,0), (-40,0), and (0,30). What is the length, in coordinate unites, of the hypotenuse of the triangle?

• 30

• 35

• 40

• 50

• 70