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PYTHAGOREAN THEOREM
SQUARES 7 SQUARE ROOTS (No Calculator)
FIND THE MISSING SIDE)
DISTANCE ON THE COORDINATE PLANE
WORD PROBLEMS + MISC.
100
What is the Pythagorean Theorem?
What is A squared +B squared = C squared (AxA, BxB, add them, square root)
100
What is 12 inches squared?
144 sq.in. (square inches)
100
a=10, b=24, c=?
c = 26
100
Find the distance between the point (-2,1) and (3,-2)
6
100
Janice is flying a kite. The length of the kite string is 55 feet and she is positioned 40 feet away from beneath the kite. About how high is the kite?
37.7 ft
200
Which side of the right triangle is the longest - a, b, or c?
C
200
What is the square root of 49 sq.ft.?
7 ft
200

a=12, b=10, c=?

15.6

200
Find the distance between (-1,0) and (5,0)
6
200
A 35 inch TV is 26 inches long, how tall is the screen?
23 in
300
What types of triangles does the Pythagorean Theorem work with?
RIGHT TRIANGLES ONLY
300
What is 20 cm. squared?
400 sq.cm. (square centimeters)
300

c=10; a=4; b=?

9.2

300
Find the distance between (5,3) and (-4,-3)
11
300
The measurements of a triangle are 12, 35, 37. Is this a RIGHT TRIANGLE?
YES
400
What is the name of the side opposite the right angle?
HYPOTENUSE
400
What is the square root of 1000 sq. meters?
10 m (meters)
400
a= ? , b=35, c=37
a=12
400
Find the distance between (10,11) and (-1,1)
15
400
A distance between bases in a baseball field is 90ft. The catcher wants to throw the baseball to second base, how far does he need to throw it (nearest tenth)?
127.3 ft
500

Draw and label a triangle with the measurements 19, 4, and 12.

LEGS = 4, 12; HYPOTENUSE = 19

500
Estimate the square root of 80 sq.inches.
9 in
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
Find the distance between (3,-4) and (3,10)
14
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 to locate any place on earth now.