Respuesta :

In this problem, there are two congruent right triangles: triangle XCA and triangle XBC, where the hypotenuse are XA and XB respectively. Considering triangle XBC, XB = radius = 17, and BC = 30 / 2 = 15. By pythagorean theorem, XC = sqrt(17^2 - 15^2) = sqrt(289 - 225) = sqrt(64) = 8 units.

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The length of segment XC, which bisects the chord will be 8 units.

What is the Pythagorean theorem?

It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

Given that:-

  • Given circle X with a radius of 17 units and chord AB with a length of 30 units

The length of the segment XC will be calculated as:-

H³   =   P²   +    B²

17²   =    XC²   +   15²

XC²  =   17²   -   15²

XC   =   √289  -   225

XC   =    √64

XC   =    8 units

Therefore the length of segment XC, which bisects the chord will be 8 units.

To know more about the Pythagorean theorem follow

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