Given: △klm lm=12, m∠k=60°, m∠m=45° find: perimeter of △klm.

Use the sine rule for triangles:

All three angles of a triangle = 180°

So angle L = 180 - 60 - 45 =  75 degrees

sin(60)/12 = sin(75)/KM

KM = (sin(75) x 12)/sin(60)

KM = 13.38 unit s

sin(60)/12 = sin(45)/KL

KL = (sin(45)x12)/sin(60)

KL = 9.8 units

Perimeter = LM + KM + KL

Perimeter = 12 + 13.38 + 9.8

Perimeter = 35.18 units

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