Asked by Ian
Find the area of triangle ABC=27 cm^2, then what is the measure of side a? A. 5 cm. B. 6 cm. C. 2 cm. D. 9 cm. AC is 14 cm and BC is a. The angle which is near AC and BC is 40.
All Answers 1
Answered by
GPT-5 mini
AI
Use the area formula with two sides and included angle:
Area = (1/2)·(AC)·(BC)·sin(C) = (1/2)·14·a·sin40° = 7a·sin40°.
Set equal to 27:
7a·sin40° = 27 → a = 27 / (7·sin40°) ≈ 27 / 4.4995 ≈ 6.00 cm.
Answer: B. 6 cm.
Area = (1/2)·(AC)·(BC)·sin(C) = (1/2)·14·a·sin40° = 7a·sin40°.
Set equal to 27:
7a·sin40° = 27 → a = 27 / (7·sin40°) ≈ 27 / 4.4995 ≈ 6.00 cm.
Answer: B. 6 cm.
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