Ответ: ∡A =75° , AC=7√6/2 , BC=7√2 *sin 75° ≈9.56 cm
Объяснение:
∡A=180°- ∡B-∡C=180°-60°-45° =75°
По теореме синусов
AB/sin∡C= BC/sin∡A=AC/sin∡B
sin∡C= sin 45=√2/2 sin∡B =sin 60° =√3/2
7*2/√2 =7√2= BC/sin75° =AC/sin60°
=>AC=7√2*√3/2 =7√6/2
=> BC=7√2 *sin 75° ≈9.56 cm
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Ответ: ∡A =75° , AC=7√6/2 , BC=7√2 *sin 75° ≈9.56 cm
Объяснение:
∡A=180°- ∡B-∡C=180°-60°-45° =75°
По теореме синусов
AB/sin∡C= BC/sin∡A=AC/sin∡B
sin∡C= sin 45=√2/2 sin∡B =sin 60° =√3/2
7*2/√2 =7√2= BC/sin75° =AC/sin60°
=>AC=7√2*√3/2 =7√6/2
=> BC=7√2 *sin 75° ≈9.56 cm