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The Perimeter of triangle ABC is 32.312

For us to get the perimeter of triangle ABC, we need to get the sides BC and AC using the sine rule

According to the rule

AB/sinC = BC/sinA

9/sin45 = BC/sin60

9√2 = BC/0.8660

BC = 9√2 * 0.8660

BC = 11.022

Similarly;

AC/sinB = 9/sin45

AC/sin75 = 9√2

AC = 9√2sin75

AC= 12.29

Perimeter of ABC = AB + BC + AC

Perimeter of ABC = 11.022 + 12.29 + 9

Perimeter of ABC = 32.312

Hence the Perimeter of triangle ABC is 32.312

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