Penjelasan dengan langkah-langkah:
cos α = 3/5
BC = 12 cm
misal jarak titik C ke alas AB = O
siku-siku di C
sin²α + cos²α = 1
sin²α + (3/5)² = 1
sin²α + 9/25 = 1
sin²α = 1 - 9/25
sin²α = 16/25
sin α = √(16/25)
sin α = 4/5
sin α = BC / AB
4/5 = 12/AB
4AB = 60
AB = 60 / 4
AB = 15 cm
AC = √(AB² - BC²)
AC = √(15² - 12²)
AC = √(225 - 144)
AC = √81
AC = 9 cm
rumus dimensi tiga :
1/2 x AC x BC = 1/2 x AB x O
1/2 x 9 x 12 = 1/2 x 15 x O
9 x 6 = 15/2 (O)
54 = 15/2 (O)
108 = 15O
O = 108 / 15
O = 36/5
O = 7,2 cm
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Penjelasan dengan langkah-langkah:
cos α = 3/5
BC = 12 cm
misal jarak titik C ke alas AB = O
siku-siku di C
sin²α + cos²α = 1
sin²α + (3/5)² = 1
sin²α + 9/25 = 1
sin²α = 1 - 9/25
sin²α = 16/25
sin α = √(16/25)
sin α = 4/5
sin α = BC / AB
4/5 = 12/AB
4AB = 60
AB = 60 / 4
AB = 15 cm
AC = √(AB² - BC²)
AC = √(15² - 12²)
AC = √(225 - 144)
AC = √81
AC = 9 cm
rumus dimensi tiga :
1/2 x AC x BC = 1/2 x AB x O
1/2 x 9 x 12 = 1/2 x 15 x O
9 x 6 = 15/2 (O)
54 = 15/2 (O)
108 = 15O
O = 108 / 15
O = 36/5
O = 7,2 cm