Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of TriangleLength of angle bisector and median / Dist. between sp. PointsMedium2 minQB
MathematicsMediumsingle choice
T1 is isosceles with circumcircle K. T2 is an isosceles triangle inscribed in K whose base is an equal side of T1 and overlaps its interior. Continue the same construction through Tn. Find the limiting base angle of Tn.
Options:
Answer:
B
Solution:
If _n is base angle of Tn, the next base angle is _{n+1}=90°-_n/2. This is a contraction with unique fixed point =90°-/2=60°. Since |d_{n+1}/d_n|=1/2, _n→60°.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Length of angle bisector and median / Dist. between sp. Points
⏱ 2mℹ️ Source: QB
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