Pythagorean Theorem & Distance Formula

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

What is the value of x in the right triangle shown?

• 16cm

• 18cm

• 24cm

• √674cm

The pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Find the distance.

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram. Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

Mathematical Equivalence

ON

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8.7.C

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

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

• 80 yd

• 60 yds

• 240 yd

• 120 yd

Which value BEST represents the length of line AB?

• 8 units

• 12 units

• 15 units

• 21 units

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

An anemometer is a device used to measure wind speed. The anemometer shown is attached to the top of a pole. Support wires are attached to the pole 5 feet above the ground. Each support wire is 6 feet long. How far from the base of the pole is each wire attached to the ground?

Round to the nearest hundredths place.

Mathematical Equivalence

ON