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Equal chords AB = AC in a circle of given radius: find chord BC

The same question, asked 2 times: CDS 2 2019*, CDS 1 2020. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2019

    84
    In a circle of radius 8 cm, AB and AC are two chords such that AB = AC = 12 cm. What is the length of chord BC ?

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  2. Question 2

    CDS 1 2020

    70
    In a circle of radius 5 cm, ABAB and ACAC are two chords such that AB=AC=8AB = AC = 8 cm. What is the length of chord BCBC ?

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