Applying Pythagorean Theorem

What is the length of the diagonal of the rectangular solid shown?

• 5 cm

• 13 cm

• 6cm

• 12.3

if a = 3 feet,  b = 8 feet,  and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?

• 8.54 feet

• 10.44 feet

• 10 feet

• 4.12 feet

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

Solve for x.

• 38.9

• 40.2

• 45.6

• 54

The slide at the playground has a height of 6 feet. The base (bottom) of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

If the area of square b is 144 ft² and the length of side a is 5 ft, what is the area of square c?

• 169 ft²

• 13 ft²

• 12.2 ft²

• 10.9 ft²

Q2. How tall is the tree?

• 7 ft

• 5 ft

• 3 ft

• 2 ft

Find the the length of diagonal AV in a three dimensional figure.

• 10

• 17

• 13

• 22

The elementary school is building a new jungle gym for their playground. The builders designed it so that it is the shape of a large rectangular prism with one diagonal on the front side of the structure. The sides measures 4 meters by 3 meters by 2 meters. What is the length of the diagonal that will brace the jungle gym ?

• 13 meters

• 20 meters

• 25 meters

• 5 meters

John wants to fence off a triangle portion of his yard for his chickens. The three pieces of fencing he has to use are 8 feet, 15 feet, and 20 feet long. Will he be able to make a right triangle with his fence?

• Yes

• No