Question

A chord and the diameter through one of its ends are drawn in a circle A chord of the same inclination is drawn on the other side of the diameter. prove that the chord are of the same length​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

image is given below

AB is the diameter

AC and AD are the chords

Given that ∠OAC = ∠OAD

In triangle OAC,

∠OAC = ∠OCA

In triangle OAD,

∠OAD = ∠ODA

Consider the ΔOAC and ΔOAD

∠OAC = ∠OAD; ∠OCA = ∠ODA

∠AOC = ∠AOD; AO = AO

Triangles are equal.

Sides opposite to equal angles are also equal.

∴ AC = AD

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