The radius of a circle is 13cm .a chord is a distance of 5cm from the centre.the length of the chord is ?

  24 cm

Step-by-step explanation:

The triangle formed by the chord, its bisector, and a radius is a right triangle with hypotenuse 13 and one side of length 5. These are two of the numbers in the 5-12-13 Pythagorean triple, so we know that half the chord has length 12.

The chord is 24 cm long.

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In case you haven't memorized some of the more commonly used Pythagorean triples, you can find the half-chord length (h) using the Pythagorean theorem:

  13² = 5² + h²

  169 -25 = h²

  √144 = h = 12

The half-chord length is 12, so the full chord length is 24 centimeters.

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