Pythagorean Theorem and Distance

If one leg of a right triangle is 12 and the other leg is 16.  What is the length of the hypotenuse of this right triangle?

• 20

• 10.6

 What is the distance between A & B?
See Study Guide

• 4.1

• 5.1

The right triangle below is formed by squares A, B, and, C. Square A has an area of 25 meters and Square C has an area of 169 square meters. What is the area of Square B?
See Study Guide

• 161 square meters

• 144 square meters

Tara leaned a 12 foot ladder against the house.  The bottom of the ladder is 5 feet from the house.  How high up the side of the house is the top of the ladder? 

• 13

• 10.9

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

Tags

8.7.C

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

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

Find the missing length.

• 12

• 10

• 16

• 5

Find the missing length.

• 15

• 11

• 35

• 8