Amiel's Pythagoras Post 4, 5, 10

4.what are the areas of the square?

e=30mm
e= 30²
e=30x30
e=900mm²

f=40mm
f=40²
f=40x40
f=1600mm²

g=50mm
g=50²
g=50x50
g=2500mm²

5. A right triangle has side length of 40mm, 75mm, and 85mm.
a) Sketch the right triangle and draw squares around each side of the triangle.

b) What are the areas of the three squares?

A=40mm B=75mm C=80mm
A=40² B=75² C=80²
A=40x40 B=75x75 C=80x80
A=1600mm B=5625 C=7225

c) Write an addition statement using the areas of these three squares.
A²+B²=C²

1600+5625=7225

10. A triangle has the side lengths of 120mm, 160mm, and 200mm. Is the triangle a right triangle? Explaing your reasoning.







a+b=c
120+160= 280
280≠200

It is not the a right triangle because the leg of the triangle did not equal the hypotenuse.

Pythagoras post

3. Determine the length of each hypotenuse.

a)
c squared = a squared + b squared
c squared = 12 squared + 16 squared
c squared = (12 x 12) + (16 x 16)
c squared = 144 + 256
c squared = 400 cm squared
Then squared root "c" squared and square root 400 cm squared
c = 20 cm


b)
r squared = p squared + q squared
r squared = 16 squared + 30 squared
r squared = (16 x 16) + (30 x 30)
r squared = 256 + 900
r squared = 1156 m squared
Then square root "r" squared and then squared root 1156 m squared
r = 34 m

4. What is the length of each hypotenuse? Give your answer to the nearest tenth of a centimeter.
a)
z squared = x squared + y squared
z squared = 6 squared + 7 squared
z squared = (6 x 6) + (7 x 7)
z squared = 36 + 49
z squared = 85 cm squared
Then square root "z" squared and then square root 85 cm squared.
z = 9.21 cm

b)
d squared = b squared + c squared
d squared = 8 squared + 11 squared
d squared = (8 x 8) + (11 x 11)
d squared = 64 + 121
d squared = 185 cm squared
Then square root "d" squared and then square root 185 cm squared
d = 13.6 cm

5.
a) What is the area of each square attached?

a squared = 6 squared
a squared = 6 x 6
a squared = 36 cm squared

b squared = 8 squared
b squared = 8 x 8
b squared = 64 cm squared

b) c squared = a squared + b squared
c squared = 36 + 64
c squared = 100 cm squared

c) square root "c" squared and then square root 100 cm squared
c = 10 cm

Carlo's Pythagorean Relationship

1. The relationship between the lengths of the side of a right triangle. The sum of the areas of the squares attached to the legs of a right triangle equals the area of the square attached to the hypotenuse.

2. Solve for the missing side length.

3.Is this a right triangle??

Not A perfect Triangle.

Pythagorean Relationship - The relationship between the lengths of the 2 sides of a right triangle

3.

the question is if the triangle is a right triangle

its legs are 6cm and 8 cm the legs are commonly the 2 smaller number and the largest number in the triangle is the hypotenuse

so to find if its a right triangle is:

8cm= a

6cm= b

11cm= c

c2 = a2 + b2

c2 = 82 + 62

c2 = (8x8)+ (6x6)

c2 = 64cm2 +36 cm 2

c2 = 100

_ _

/c2 = /100 cm2

= 10 cm 2

c2 = 10 x 10

the answer is = NO its not a perfect square 10 = 11

Pythagoras Scirbe (textbook)

7. Identify a whole number with a square root between 11 and 12
11^2=121^2) (12^2=144^2 I can pick either 122-143

12.While shopping online, Ji Hun finds a square rug with an area of 11m^2. He needs to know if it will fit in his 4m X 5m bedroom
a) 3.4
b) 3.3
c) 4X5=20m^2) (rug is 11 ^2 yes it will fit 20-11=9m^2

15. order the following numbers from least to greatest
7, (sqrt)46, 5.8, (sqrt)27, 6.3 answer: (sqrt)27, 5.8, 6.3, (sqrt)46,7

Pythagoraen Relationship

Pythagoraen Relationship Question

1. The pythagorean relationship is the relationship between the two legs and the hypotenuse. The area of the two legs equal the area of the hypotenuse.



















2. 13 = c








































3. No, because 10 does not equal 11








































Textbook Questions

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13.













































14.

Sarah's Text Book Questions

 

 

  

  

 

 

Part 2

1. Answer in a short paragrah and with diagrams.

 

Example :

Legs - Legs are the 2 shortest sides of a right triangle.

Hypotenuse - Hypotenuse is the longest side of a right triangle.

2. Solve for the missing side length.

3. Is this a right triangle? Prove it!!!