11.1 Pythagoras

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• Middelbare school
• havo
• Leerjaar 3

11.1 Pythagoras

Rounding numbers

• Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use.

Form example: 

73 -> 70

7,12 -> 7,1

Rounding decimals

Decide which is the last digit to keep

Leave it the same if the next digit is less than 5 (this is called rounding down)

But increase it by 1 if the next digit is 5 or more (this is called rounding up)

Round to one decimal
6,684.

• A square is the result of multiplying a number by itself
• Squaring is the same as raising to the power 2
• the square of 3 may be written as      , which is the number 9
•        = 3x3 = 9

3​2​​

3​2​​

Calculate the square of 8

Square root

Wat is het wortel van 64

1. 4
2. 6
3. 8
4. 32

round to 2 decimal places
7,814

What is the square of 12

What is the square root of 49

Calculating the Hypotenuse -> Side AC

Stelling van Pythagoras

a​2​​+b​2​​=c​2​​

AB​2​​+BC​2​​=AC​2​​

7​2​​+11​2​​=AC​2​​

49+121=AC​2​​

170=AC​2​​

AC=√​170​​​

AC≈13,04

Calculate the length of BC

The catheti

Bereken de lengte van BC

a​2​​+b​2​​=c​2​​

Bereken de lengte van BC

a​2​​+b​2​​=c​2​​

AB​2​​+BC​2​​=AC​2​​

Bereken de lengte van BC

a​2​​+b​2​​=c​2​​

13​2​​+BC​2​​=20​2​​

AB​2​​+BC​2​​=AC​2​​

Bereken de lengte van BC

a​2​​+b​2​​=c​2​​

13​2​​+BC​2​​=20​2​​

169+BC​2​​=400

AB​2​​+BC​2​​=AC​2​​

Bereken de lengte van BC

a​2​​+b​2​​=c​2​​

13​2​​+BC​2​​=20​2​​

169+BC​2​​=400

BC​2​​=231

AB​2​​+BC​2​​=AC​2​​

Bereken de lengte van BC

a​2​​+b​2​​=c​2​​

13​2​​+BC​2​​=20​2​​

169+BC​2​​=400

BC​2​​=231

AB​2​​+BC​2​​=AC​2​​

BC=√​231​​​

Bereken de lengte van BC

a​2​​+b​2​​=c​2​​

13​2​​+BC​2​​=20​2​​

169+BC​2​​=400

BC​2​​=231

AB​2​​+BC​2​​=AC​2​​

BC=√​231​​​

BC≈15.20

Bereken de lengte van BC

a​2​​+b​2​​=c​2​​

13​2​​+BC​2​​=20​2​​

169+BC​2​​=400

BC​2​​=231

AB​2​​+BC​2​​=AC​2​​

BC=√​231​​​

BC≈15.20

a​2​​+b​2​​=c​2​​

13​2​​+BC​2​​=20​2​​

169+BC​2​​=400

BC​2​​=231

AB​2​​+BC​2​​=AC​2​​

BC≈15.20

13​2​​+BC​2​​=20​2​​

169+BC​2​​=400

BC​2​​=231

BC≈15.20

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