What is the approximate area of the triangle below?a)72.8 sq. cm.b)111.9 sq. cm.c)142.0 sq. cm.d)164.7 sq. cm.

Answer:Option a)72.8 sq. cm.Step-by-step explanation:step 1Find the measure of the third internal angle of the triangleRemember thatthe sum of the internal angles of a triangle must be equal to 180 degreesso95°+35°+A=180°A=180°-95°-35°A=50°step 2Applying the law of sinesFind the length side opposite to the angle of 35 degrees14/sin(50°)=b/sin(35°)b=[14/sin(50)]*sin(35)b=10.48 cmstep 3Applying the law of sines find the area of the triangleA=(1/2)(14)(10.48)sin(95°)=73.10 cm²thereforeThe approximate area of the triangle below is 72.8 sq. cm