Wednesday

December 17, 2014

December 17, 2014

Posted by **Sara** on Wednesday, November 24, 2010 at 5:13pm.

- geometry -
**Reiny**, Wednesday, November 24, 2010 at 5:23pmmake a sketch

angles subtended by the same chord are equal,

so you have two similar triangles

let the 24 inch chord be divided into x and 24-x

then by ratios ...

x/12 = 9/24-x

108 = 24x - x^2

x^2 - 24x + 108 = 0

(x-6)(x-18)=0

x = 6 or 18

if one piece is 6, the other is 24-6 = 18

the shorter piece is 6

**Answer this Question**

**Related Questions**

geometry - A diameter of a circle is perpendicular to a chord whose length is 12...

geometry - A diameter of a circle is perpendicular to a chord whose length is 12...

geometry - A diameter of a circle is perpendicular to a chord whose length is 12...

math - A diameter of a circle is perpendicular to a chord whose length is 12 ...

Geometry - How would you solve these? The radius of a circle is 34 meters long, ...

Geometry - In circle O, chord AB is 9 inches from the center. The diameter of ...

Math - Two chords intersect inside a circle. The lengths of the segment of one ...

geometry - A segment 12" long is divided into two segments having lengths in the...

solid mensuration - Determine the area of the segment of a circle if the length ...

geometry - If a chord 10 inches long is 5 inches from the center of a circle, ...