PYTHAGOREAN THEOREM
SQUARES and SQUARE ROOTS (No Calculator)
FIND THE MISSING LENGTH
Random Maths Questions
WORD PROBLEMS
100
What is the Pythagorean Theorem?
c2 = a2 + b2
100
What is 12 cm squared?
144 cm2
100
a=10, b=24, c=?
c = 26
100
Calculate, without using a calculator:
5/6
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
200
Which side of the right triangle is the longest - a, b, or c?
C
200
What is the square root of 49 km2?
7 km
200
What is the length of x?
45cm
200
What's the volume of a rectangular prism with the following side lengths: l=4cm, w=6cm, h=32cm
768cm3
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
300
What is the name of the side opposite the right angle?
HYPOTENUSE
300
What is the square root of 1000 sq. metres?
10 m (metres)
300
a2 + b2 = 36, c = ?
6
300
Solve for x if a=3, b=4, and c=11:
ab-c=x
x=1
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
400
What types of triangles does the Pythagorean Theorem work with?
RIGHT TRIANGLES ONLY
400
What is 20 cm. squared?
400 cm2
400
a= ? , b=35, c=37
a=12
400
Solve for f: 2f-9=33
21
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
500
What's the formula for calculating a2?
a2=c2-b2
500
Estimate the square root of 80 sq. millimetres.
9 mm
500
If the two shorter sides of a right triangle are 4, what is the length of the third side (one decimal place)?
5.7
500
What's the area of a trapezium with the following lengths: a=5m, b=7m, h=9m
54m2
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.