Given circle X with radius 17 units and chord AB with length 30 units, what is the length of segment XC, which bisects the chord

Question

Lelu [443]

4 years ago

11

Given circle X with radius 17 units and chord AB with length 30 units, what is the length of segment XC, which bisects the chord

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Mathematics

2 answers:

Jet001 [13] · Answer 1 · 2022-01-01T09:38:05+03:00

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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SVETLANKA909090 [29] · Answer 2 · 2022-01-01T11:49:08+03:00

SVETLANKA909090 [29]4 years ago

4 0

The answer (Apex) is "8 units"