Missing Hypotenuse
Find the missing hypotenuse for the triangle with legs 3 and 4 cm long.
5 cm
Find the missing LEG for the triangle with a=6 and c=10.
b = 8
Is 3.3629742562584126354898... rational or irrational? How do you know?
Irrational because it does not terminate or repeat
Sally walks away from her house. She walks 25 m west then 15 m south. How far, in meters, is she from her house?
29.2 meters
Would a triangle with side lengths 6, 8, and 11 inches form a right triangle?
No
Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,2) and (5,6)
c = 5
Find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
Find the missing LEG for the triangle with b=9 and c=20.
a = 17.9
Tell whether 3/11 tell whether is rational or irrational and give the decimal expansion.
Rational, it repeats: 0.27 repeating
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
Which is bigger: 3 times pi, or the square root of 80?
3 times pi
Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(−1,9) and (4,−3)
13
Find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=10 and c=15. Give answer in simplest radical form.
(a = 11.2)
The square root of 28 falls between what two whole numbers? Which one is it closer to?
5 and 6, closer to 5
If the catcher on a baseball team can throw 120 feet at best, can he make the throw from home plate to second base if the distance between home and 1st as well as 1st and second is 90ft?
Would a triangle with side lengths 10in, 24in, and 26in form a right triangle?
YES
Using the sides, find the distance between the two points. Leave answer in simplest radical form.
(5,−6) and (−1,−2)
c\approx7.2
Find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
Find the missing LEG for the triangle with b=1 and c=4.
a = 3.9
Give 3 examples of irrational numbers
Answers vary
Ex: sqrt(52), sqrt(41), 3.256941...
Ed is flying a kite with a string 25 meters long. If his friend is directly under the kite 10 m away, how high, in meters, is the kite off the ground?
22.9 meters
Put these numbers in order from least to greatest:
pi - 1, the square root of 2, and 1/6
1/6, the square root of 2, pi - 1
Using the sides, find the distance between the two points. Leave answer in simplest radical form.
(5,8) and (9,4)
c\approx5.7
Find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
In a rectangular prism (box), the dimensions are 3 cm, 4cm, and 12 cm. Find the length of the longest diagonal in the box.
d = 13
Explain the differences between rational and irrational numbers
Rational numbers can be expressed as fractions, or decimals that terminate or repeat. Irrational numbers do not terminate or repeat.
A football field is a rectangle 48 meters wide and 91 meters long. The coach asks players to run from corner to corner diagonally across the field. How far do the players run?
102.9 meters
Can a 36 inch clarinet fit inside a box that measures 5in by 8 inches by 32 inches?
No (length is slightly over 33inches).
Using the sides, find the distance between the two points. Leave answer in simplest radical form.
(2,−5) and (−7,2)
c\approx11.4