Is it possible to calculate the size a of the triangle where t is a median? If so, how?
2026-05-05 04:44:47.1777956287
Calculate side of a triangle with known base and median
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The fact that $\overline{AS}$ is a median is irrelevant here. You're asking if, given lengths $AB$ and $AS$, you can determine (uniquely) the triangle $\triangle ABS$. There are infinitely many such triangles — imagine fixing $\overline{AS}$ and drawing a circle of radius $c=8$ centered at $A$. All but two of the points on that circle can be vertex $B$.