Missing Hypotenuse
Missing Leg
Irrational Numbers
Word Problems
Is it a right triangle?
Distance Between Two Points
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 cm long.
5 cm
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=10.
b = 8
100
Is 3.3629742562584126354898... rational or irrational? How do you know?
Irrational because it does not terminate or repeat
100
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
100
Would a triangle with side lengths 6,10,and 8 inches form a right triangle?
yes
100
Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,2) and (5,6)
c = 5
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=9 and c=20.
a = 17.9
200
Is 8.513513513513... rational or irrational? How do you know?
Rational, it repeats
200
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
200
NO
200
Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(−1,9) and (4,−3)
13
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
300
DAILY DOUBLE!!!
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=10 and c=15.
a = 11.2
300
The square root of 28 falls between what two whole numbers? Which one is it closer to?
5 and 6, closer to 5
300
A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?
12 feet
300
Would a triangle with side lengths 5in, 12in, and 13in form a right triangle?
YES
25+144=169
300
DAILY DOUBLE!!!
Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(5,−6) and (−1,−2)
c\approx7.2
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=1 and c=4.
a = 3.9
400
Give 3 examples of irrational numbers
Answers vary
Ex: sqrt(52), sqrt(41), 3.256941...
400
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
400
NO
sides squared =5,161
hypotenuse squared = 5184
400
Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(5,8) and (9,4)
c\approx5.7
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=9.
b = 6.7
500
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.
500
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
500
?
NO
500
Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(2,−5) and (−7,2)
c\approx11.4