Pythagorean Theorem
Find a or b
Find c
WORD PROBLEMS
Wildcard
100
What is the formula of Pythagorean Theorem?
c2 = a2 + b2
100
a=5, b=?, c=13
b=12
100
a=10, b=24, c=?
c = 26
100
Janice is flying a kite. The length of the kite string is 55 m and she is positioned 40 m away from beneath the kite. About how high is the kite? Answer to 1 decimal place.
37.7 m
100
What animal is known to be ‘man’s best friend’?
Dog
200
Which side of the right triangle is the longest: a, b, or c?
C
200
a=?, b=9, c=19
a=16.73
200
What is the length of x?
45cm
200
Ivan is deep-sea diving with two friends. Lara is exploring a coral reef 16 metres in front of Ivan, and Bruce is floating on the surface directly above Ivan. If Bruce and Lara are 20 metres apart, how far apart are Ivan and Bruce?
12 metres
200
How many colors are there in a rainbow?
7
300
What is the name of the side opposite the right angle?
HYPOTENUSE
300
a=2, b=?, c=31
b=30.94
300
a= ? , b=35, c=37
a=12
300
The floor of a storage unit is 12 metres long and 9 metres wide. What is the distance between two opposite corners of the floor?
15 m
300
What's the name of the famous painter that cut off his own ear?
Van Gogh
400
What types of triangles does the Pythagorean Theorem work with?
RIGHT TRIANGLES ONLY
400
a=?, b=17, c= 27
a= 20.98
400
a2 + b2 = 36, c = ?
6
400
After school, Rosanne skateboards directly from school to a skate park and then from the skate park to an ice cream parlour. The skate park is 12 kilometres south of the school and the ice cream parlour is 16 kilometres east of the skate park. What is the straight-line distance between the school and the ice cream parlour?
20 kilometres
400
What is the highest-grossing holiday movie of all time?
Home Alone
500
Draw and label a triangle with the measurements 3, 4, and 5.
SHORT SIDES = 3, 4 HYPOTENUSE = 5
500
a=12, b=?, c=33
b=30.74
500
If the two shorter sides of a right triangle are 4, what is the length of the third side, to the nearest tenth?
5.7
500
Give one example of how the Pythagorean Theorem is used in the real world.
Baseball – how far a catcher has to throw a ball to second base What kind of ladder you need to get to your roof Height of a building Ramp of a moving truck (ramps in general) Measurement of a TV Distance – shortest distance from one place to another Floorplans - Computers and Satellites use PT (and trigonometry) to locate any place on earth now.
500
What is Cynophobia the fear of?
Dogs