Pythagorean Theorem
21.73 inches
A box used for shipping narrow silver sticks measures 6 inches by 6 inches by 20 inches. What is the length of the longest stick that will fit in the box, given that the length of the tube must be a whole number of inches ?
16 meters
Greg is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 12 meters and the diagonal distance from one corner to the opposite corner is 20 meters. How much garland will Greg need for the length of the ceiling?
16
In a college soccer league, the smallest field allowed is a rectangle 65 yards wide and 110 yards long. The largest field allowed is a rectangle 80 yards wide and 120 yards long. To the nearest yard, how much longer is the diagonal of the largest field than the diagonal of the smallest field?
No
Is this a right triangle: a=4, b=6, c=9
yes
Is this a right triangle: a=5 b=12 c=13
obtuse
Is this a right, acute, or obtuse triangle? a = 4, b = 6, c = 9
56 inches
Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 33 inches tall and the ramp is 65 inches long. What is the horizontal distance from the end of the ramp to the back of the truck?
15.10 inches
Lily ordered a replacement part for her desk. It was shipped in a box that measures 4 in. by 4 in. by 14 in. What is the greatest length in whole inches that the part could have been ?
20 feet
Mr. Newman is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 16 feet high. The base of the ladder is 12 feet away from the house, where Mr. Newman's son is holding it steady. How long is the ladder?
a triangle where one angle is guaranteed to be 90 degrees.
Right Triangle
8 meters
Scott is admiring a statue in Newport Park from 15 meters away. If the distance between the top of the statue to Scott's head is 17 meters, how much taller is the statue than Scott?
20.49
Solve for the missing length: a=16 b=? c=26
34.99
Solve for the missing length: a=18 b=30 c=?
43.83
Solve for the missing length: a=25 b=36 c=?
39.80
Solve for the missing length: a=4 b=? c=40
98.81
Solve for the missing length: a=58 b=80 c=?
24.82
Solve for the missing length: a=? b=15 c=29
46.91
Solve for the missing length: a=? b=20 c=51
50.91
Solve for the missing length: a=? b=42 c=66
5
a=3 b=4 c=?
10
a=6 b=8 c=?
25
a=7 b=24 c=?
15 meters
A telephone pole is 12 meters tall and a pigeon is standing on the ground 9 meters from the pole. If the pigeon flies from where it is standing to the top of the telephone pole, how far will it fly?
36
A television screen is a rectangle, and its size is indicated by the length of a diagonal. A 42 inch television screen is about 21 inches high. How wide is the screen to the nearest inch?
13 kilometers
After school, Sandra skateboards directly from school to a skate park and then from the skate park to a candy store. The skate park is 5 kilometers south of the school and the candy store is 12 kilometers east of the skate park. What is the straight-line distance between the school and the candy store?
12
Find b: a=5 b=? c=13
24
Find the missing leg if one leg is 18 units and the hypotenuse is 30 units.
17 kilometers
Whenever he visits Hillsdale, Oscar has to drive 15 kilometers due north from home. Whenever he visits Booneville, he has to drive 8 kilometers due east from home. How far apart are Hillsdale and Booneville, measured in a straight line?
Acute
Would these sides form a right, acute, or obtuse triangle? 50, 70, 50
right
Would these three sides form a right, obtuse, or acute triangle? 8, 15, 17
The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle.
hypotenuse
Either of the two shortest sides of a right triangle, they meet at a common vertex to form a right angle.
leg
The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. (a²+b²=c²)
pythagorean theorem
An angle of exactly 90 degrees.
right angle
The result of multiplying a number by itself.
squaring a number