Pythagorean Theorem
Similar Right Triangles
45°-45°-90°
30°-60°-90°
Challenger
100
A carpenter wants to build a handicap ramp over a set of steps that is 12 feet long and 5 feet high. This is the length of the ramp ?
What is 13 feet
100
This is the value of x
What is 6
100
An 80-foot tipping platform is a ramp used to unload trucks. This is the height of the ramp (to the nearest tenth) when it is tipped by a 45° angle?
What is 56.7 feet
100
This is the value of x (to the nearest tenth)
What is 9.5
100
An equilateral triangle is plotted on a coordinate plane. Two of the vertices are (0,0) and (8,0). These coordinates could be the vertex of the third side?
What is (4,7)
200
A 20-ft ladder is leaning against a wall. If the ladder is 12 ft from the base of the wall, This is the height above the ground the top of the ladder
What is 16 feet
200
This is the value of x ( to the nearest tenth)
What is 2.5
200
ABCD is a square whose side is 8 units. This is the length of diagonal AC to the nearest tenth.
What is 11.3 units
200
A ladder leaning against a tree makes a 30° angle with the ground. The base of the ladder is 8 m from the tree. This is the height of the ladder ( to the nearest tenth) from the ground
What is 4.6 m
200
This is the area of equilateral triangle whose side measures 5 units. This is the area to the nearest tenth of a square unit.
What is 10.8 sq. units .
300
A baseball diamond is a square with sides of 90 feet. This is the shortest distance, to the nearest feet, between first base and third base?
What is 127 feet
300
This is the value of x ( to the nearest tenth )
What is 4.9
300
A brick walkway forms the diagonal of a square playground. The walkway is 23 m long. To the
nearest tenth of a meter, This is the length of one side of the playground.
What is 16.3 m
300
Currently, this tower is leaning at an angle of __ degrees
What is 4°
300
This is the value of x.
What is 4
400
Radius is 12 cm. AB and EF are straight lines. This is the length of EF ( to the nearest cm) if the length of OP is 6 cm.
What is 21 cm.
400
These are the values of x and y ( to the nearest tenth )
What is 10 and 22.4
400
The blades of a helicopter meet at right angles and are all the same length. The distance between the tips of two consecutive blades is 36 ft long. The is the length of each blade (to the nearest feet)
What is 25.5 ft.
400
If the hotel's window is 36 feet above the ground and you must place your ladder 60° with the ground. This is the length of the ladder ( to the nearest tenth) you will need to reach the tower window?
What is 41.6 ft.
400
This is the value of x
What is 2.8
500
The rectangle PQRS represents the floor of a room. Gia stands at point A. this is the calculated distance of Gia ( to the nearest meter) from the corner S of the room
What is 11 m.
500
This is the value of x
What is 4
500
This is the original height of a fallen flagpole that cracked and formed an angle of 45° with the ground. The height from the tip of the pole to the ground is 16 feet
What is 22.6 ft.
500
This is the distance of the man with the dog ( to the nearest tenth) from the tree. If the telephone pole is 40 feet tall.
What is 29.3 ft.
500
This is the distance traveled by the spider
What is 6