4 years ago

In the triangle shown, B=60 and AC=9√3 how long is AB answer exactly, use a radical if needed

Mathematics

1 answer:

zavuch27 [327]4 years ago

5 0

Length of AB is 18

Step-by-step explanation:

Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.

sin 60 = opposite side/hypotenuse = 9√3/x

x = 9√3/sin 60

= 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)

= 18

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