👤

Sagot :

bjr

on applique le théorème de Pythagore au triangle abc rectangle en A

AB = 1

AC = 1

BC²  = BA² + AC²

BC² = 1² + 1²

BC² = 2

BC = √2

si on continue

• triangle BCD            ( CD = 1)

BD² = BC² + CD²

BD² = 2 + 1²

BD² = 3

BD = √3

• triangle BDE            (DE = 1)

BE² = BD² + DE²

BE² = 3 + 1²

BE² = 4

BE = √4   (= 2)

• triangle BEF (le dernier triangle)  

BF² = BE² + EF²

BF² = 4 + 1²

BF² = 5

BF = √5

observe les mesures des segments

BC = √2

BD = √3

BE = √4

BF = √5

© 2024 IDNLearn. All rights reserved.