exo 3
1.
sin (ABC) = sin 39 = AH / AB
=> AB = AH / sin 39
=> AB = 7.9 cm
2.
tan (ABC) = tan 39 = AH / HB
=> HB = 6.2 cm
3.
tan (ACH) = AH / CH = 5/6
=> ACH = 39.8°
4. on en déduit l´angle BAC :
BAC = 180 - ACH - ABC = 180 - 39 - 39.8
BAC = 101.2°
=> ABC n´est pas rectangle
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