Find the area of triangle ABC to the nearest tenth if AB = 14 ft, BC = 10 ft, and ∠ABC = 74°.

Question

Find the area of triangle ABC to the nearest tenth if AB = 14 ft, BC = 10 ft, and ∠ABC = 74°. 

 

Answer 1

Step 1: use law of cosine to find AC

Step 2: draw the perpendicular height from angle A to opposite side BC

Step 3: use trig to find the height

Step 4: area is base x height

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