Pythagoras

Projectieformule Gonio formules
1. a² = Υ × c
2. b² = χ × c
Stelling van Pythagoras
3. c² = a² + b²
4. h² = Υ × χ
5. a × b = h × c
Uitwerking
Zijde a = 6 cm, zijde c = 8 cm
1. a² = Υ × c   2. b² = χ × c  
6² = Υ × 8 b² = ( c - Υ ) × c
36 = Υ × 8 b² = ( 8 - 4,5 ) × 8 = 28
36 b = 5,29
Υ =
= 4,5
8
3. c² = a² + b² 4. h² = Υ × χ
8² = 6² + b² h² = 4,5 × 3,5 = 15,75
64 = 36 + b² h = √15,75 = 3,97
b² = 64 - 36 = 28
b = √28 = 5,29
5. a × b = h × c
6 × 5,29 = h × 8
6 × 5,29 31,74
h =
=
= 3,97
c 8

⇪ Feb 17 2021 05:38:44