Plot the points A(2, 7), B(0, 3) and C(- 2, - 1) Then determine whether they appear to be collinear.
1 answer:
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Answer:
BD = 22, DC = 11√3
Step-by-step explanation:
In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 45 + 90 = 180
∠A + 135 = 180
∠A = 45°
Using sine rule to find BC:
In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:
∠D + ∠B + ∠C = 180° (sum of angles in a triangle)
∠B + 30 + 90 = 180
∠B + 120 = 180
∠B = 60°
Using sine rule to find BD:
Using sin rule to find DC:
