Finding Distance with Pythagorean Theorem

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

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

• 80 yd

• 60 yds

• 240 yd

• 120 yd

• 121.5km

• 11km

• 26.5km

• 4.8km

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

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

Joey drives 5 miles East of house and then 12 miles South. The car then takes a diagonal path home. How many miles did the car drive to go back home?

• 7 miles

• 10.9 miles

• 13 miles

• 17 miles

If a boat sailed six miles north and eight miles east, how far away is it from its original location?  (find d)

• 100 miles

• 14 miles

• 10 miles

• 2 miles