Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleGeneral (basic formula based)Medium2 minQB
MathematicsMediumsingle choice

Which data do NOT uniquely determine an acute triangle ABC (R=circumradius)?

Options:

Answer:
D
Solution:

In an acute triangle, each sin angle gives its unique acute angle. A fixes a, while B adds an independent angle (A), or b and R fix B via b=2RsinB (C), and a,b,c determine the sides (B). But a,sin A,R obey the same relation a=2Rsin A, leaving B,C variable with fixed A; thus D does not determine the triangle.

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:General (basic formula based)
⏱ 2mℹ️ Source: QB

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