Definitions
Squares and Square Roots
Exploring the Pythagorean Relationship
Using the Pythagorean Relationship!
100
What is prime factorization
*A number written as the product of its prime factors. * The prime factorization of 6 is 2x3
100
What is the square root of 144?
*The square root of 144 is 12. Because 12 X 12 is 144.
100
What is the area each square with a side length of.... R = 5 Q = 4 P = 3
3R=5x5 =25 Q=4x4 =16 P=3x3 = 9
100
Determine the length of the hypotenuse. One leg is 16, the other leg is 12
The hypotenuse is 20 cm
200
What is a perfect square?
* A number that is the product of the same two factors. * 25 = 5x5
200
What is 13 squared?
13 squared or 13 X13 is 169.
200
A triangle has side lengths of A = 5, Z = 3, W= 4! Which side is the hypotenuse!
The hypotenuse is the longest side which is 5 so letter A!
200
What is the length of the hypotenuse? Round to the nearest tenth of a cm! On leg is 11cm and the other leg is 8cm
The hypotenuse is 13.6
300
What is a square root?
* A number that when multiplied by itself equals a given value. * 6 is the square root of 36 becuase 6x6=36
300
Is 64 a perfect square? How do you know?
Yes, because 2 appears an even number of times. 8 X 8 = 64 (I will show you on the board!)
300
A triange has side lengths of 5cm, 7cm and 9cm. Is this a right triangle?
c2 = a2 + b2 9 (squared) = 5 (squared) + 7 (squared) 9x9 = 5x5 + 7x7 81 = 25 + 49 81 = 74 These are not equal so No it is not a right triangle!
300
One leg is 5 cm and the hypotenuse is 9 cm. What is the length of the missing leg!
The other leg is 7.5!
400
What is the hypotenuse?
* The longest side of a right triangle *Side opposite the right angle
400
What is the prime factorization of 24?
24 4 X 6 2 x 2 x 2 x 3 24- is not a perfect square~!
400
Use the pythagorean relationship to find the unknown of each square *The longest side is unknown! *The other two sides are 20 cm squared, and 32 cm squared! What is the other side!
The other side is 37.73
400
Jim has a field that he wants to put fence around! The hypotenuse is 4cm and one leg is 3cm! A) What total length of fencing will he need? B) If fencing cost $2/m how much will it cost
The other leg is 9.65 It will cost 19.30
500
What is the Pythagorean Relationship?
* The relationship between the lengths of THe sides of a right triangle. *c2 = a2 + b2
500
A floor mat for gymnastics is a square with a side length of 14m. What is the area of the floor mat in square meters!
*Side length = 14X14 or 14 squared which is 196m squared!
500
What is the length of the other leg if one leg is 9 m and the hypotenuse is 41.
A(squared) = C(squared)-B(squared) A(Squared)=41(squared)-9(squared) A(Squared)=1681-81 A(squared) = 1600 Square root! A = 40
500
Bonus!
You get 650 Points!
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