In a triangle ABC AB = 4√2, angle A = 45 *, angle C = 30 *. Find aircraft.
September 2, 2021 | education
| Let’s use the sine theorem for a triangle to solve.
ВС / Sin A = AB / Sin C = AC / Sin B.
AB = 4 * √2, angle A = 450, angle C = 300, BC =?
(4 * √2) / Sin 30 = BC / Sin 45.
(4 * √2) / (1/2) = BC / 1 / √2).
ВС / 2 = (4 * √2) / √2 = 4.
BC = 4 * 2 = 8 cm.
Answer: BC = 8 cm.
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