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MATH / For a given constant b>10, there are two possible triangles ABC satisfying AB=10, AC=b, and sinB=(3)/(5). Find the positive difference between the lengths of side (BC)¯ in these tw…

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problem

For a given constant b>10,b > 10, there are two possible triangles ABCABC satisfying AB=10,AB = 10, AC=b,AC = b, and sinB=35.\sin B = \frac{3}{5}. Find the positive difference between the lengths of side BC¯\overline{BC} in these two triangles.
Plain-text mathematical notation (without MathML)
For a given constant b>10, there are two possible triangles ABC satisfying AB=10, AC=b, and sinB=(3)/(5).  Find the positive difference between the lengths of side (BC)¯ in these two triangles.
Original LaTeX notation
For a given constant $b > 10,$ there are two possible triangles $ABC$ satisfying $AB = 10,$ $AC = b,$ and $\sin B = \frac{3}{5}.$  Find the positive difference between the lengths of side $\overline{BC}$ in these two triangles.

level

Level 5

type

Precalculus

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Source and history

task_id
35f4d9d2-49c7-53a3-9733-4b9ebbaf7763
task_key
precalculus--test--35f4d9d2-49c7-53a3-9733-4b9ebbaf7763
task_revision_id
1
config / split
precalculus / test

Official source

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