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{T}_{{1}} is an isosceles triangle in circle C. Let {T}_{{2}}

Question

$T_{1}$ is an isosceles triangle in circle C. Let $T_{2}$ be another Ãsosceles triangle inscribed in C whose base is one of the equal sides of $T_{1}$ and which overlaps the interior of $T_{1}$ . Similarly, create isosceles triangle $T_{3}$ from $T_{2}; T_{4} and T_{5}$ , and so on. Prove that the triangle $T_{n}$ , approaches an equilateral triangle as $n \to \infty$ ,

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T_{1}

is an isosceles triangle in circle C. Let

T_{2}

be another Ãsosceles triangle inscribed in C whose base is one of the equal sides of

T_{1}

and which overlaps the interior of

T_{1}

. Similarly, create isosceles triangle

T_{3}

from

T_{2}; T_{4} and T_{5}

, and so on. Prove that the triangle

T_{n}

, approaches an equilateral triangle as

n \to \infty

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Question Text

T_{1}