By first calculating the size of angle LMN, calculate the area of triangle MNL. You must show all your working.

m(∠LMN) = 67.44°

Area of ΔMNL = 16.66 square units

Step-by-step explanation:

By applying Sine rule in the ΔLMN,

SinM =

SinM = 0.9235

M =

M = 67.44°

m(∠M) + m(∠N) + m(∠L) = 180°

67.44 + 38 + m(∠L) = 180°

m(∠L) = 180 - 105.44

m(∠L) = 74.56°

Area of ΔMNL =

                        =

                        = 16.66 square units

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step-by-step explanation: