Penjelasan dengan langkah-langkah:
Cos 45° = samping/miring
(√2)/2 = BD/10√6
(√2 × 10√6)/2 = BD
(10√12)/2 = BD
(10 × 2√3)/2 = BD
BD = 10√3.
AD² - BD² = AB²
(10√6)² - (10√3)² = AB²
(100 × 6) - (100 × 3) = AB²
600 - 300 = AB²
AB² = 300
AB = √300
AB = √(10² × 3)
AB = 10√3.
Sin 30° = depan/miring
1/2 = (10√3)/AC
AC = (10√3 × 2)
AC = 20√3.
BC² = AC² - AB²
BC² = (20√3)² - (10√3)²
BC² = (400 × 3) - (100 × 3)
BC² = 1.200 - 300
BC² = 900
BC = √900
BC = 30.
Jadi, panjang BC adalah 30. (e.)
Semoga membantu.
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Penjelasan dengan langkah-langkah:
Cos 45° = samping/miring
(√2)/2 = BD/10√6
(√2 × 10√6)/2 = BD
(10√12)/2 = BD
(10 × 2√3)/2 = BD
BD = 10√3.
AD² - BD² = AB²
(10√6)² - (10√3)² = AB²
(100 × 6) - (100 × 3) = AB²
600 - 300 = AB²
AB² = 300
AB = √300
AB = √(10² × 3)
AB = 10√3.
Sin 30° = depan/miring
1/2 = (10√3)/AC
AC = (10√3 × 2)
AC = 20√3.
BC² = AC² - AB²
BC² = (20√3)² - (10√3)²
BC² = (400 × 3) - (100 × 3)
BC² = 1.200 - 300
BC² = 900
BC = √900
BC = 30.
Jadi, panjang BC adalah 30. (e.)
Semoga membantu.