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If the angle of intersection at a point where two circles with radii 5\: cm and 12\: cm intersects is 90^{\circ}, then the length (in cm) of their common chord is : 

 


 

  • Option 1)

    \frac{13}{2}

  • Option 2)

    \frac{13}{5}

  • Option 3)

    \frac{120}{13}

  • Option 4)

    \frac{60}{13}

Answers (1)

best_answer

Length of common chord = 2x

\sqrt{s^{2}-x^{2}}+\sqrt{12^{2}-x^{2}}=13

x=\frac{12\times 5}{13}

2x=\frac{120}{13}


Option 1)

\frac{13}{2}

Option 2)

\frac{13}{5}

Option 3)

\frac{120}{13}

Option 4)

\frac{60}{13}

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