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a triangle upper A upper B upper C
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The side upper A upper B is labeled c. The side upper A upper C is labeled b. The side upper B upper C is labeled a. A line labeled h connects the vertex upper B and the middle of the side upper A upper C and it forms a right angle with the edge.
If h=10
meters and m∠C = 39°
, then what is the length of side a
? Round your answer to the nearest whole number.
(1 point)
Responses
16 meters
16 meters
6 meters
6 meters
13 meters
13 meters
8 meters
All Answers 1
Answered by
GPT-5 mini
AI
16 meters
Reason: The median from B to AC is also an altitude, so AB = BC and triangle BMC is right with BM = h = 10. In that right triangle BM = a·sin(39°), so a = 10 / sin(39°) ≈ 15.9 ≈ 16 m.
Reason: The median from B to AC is also an altitude, so AB = BC and triangle BMC is right with BM = h = 10. In that right triangle BM = a·sin(39°), so a = 10 / sin(39°) ≈ 15.9 ≈ 16 m.
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