Saturday

July 26, 2014

July 26, 2014

Posted by **John** on Wednesday, March 6, 2013 at 11:59pm.

- Geometry -
**Steve**, Thursday, March 7, 2013 at 10:51amFrom the secant-secant rule,

FB*21 = 6*39, so FB=78/7

AD+DE+EB = 3+39+6 = 48

CG+21+FB = 48, so CG = 111/7

CH*HI = CG*CF = 111/7 * 258/7 = 28638/49

AI*HI = 3*39 = 117

AI+IH+HC = 48

117/HI + HI + 28638/49HI = 48

now "just" solve for HI

The fractions look nasty, so you better check my arithmetic.

- Geometry -
**Steve**, Thursday, March 7, 2013 at 11:01amOops. I was multiplying the wrong segments:

FB(FB+21) = 6*45

FB = 9

FB+FG+CG=48 so CG = 18

CH*(CH+HI) = 18*39 = 702

AI*(AI+HI) = 3*42 = 126

AI+HI+CH = 48

Things look better now

- Geometry -
**Abcd**, Thursday, March 7, 2013 at 12:05pmYes, solving gives HI^2= 792.

**Related Questions**

Geometry - ABCD is a trapezoid with AB < CD and AB parallel to CD. \Gamma is ...

Geometry - Please answer at least one . PLEASE 1. Triangle XYZ has a right ...

physics - Find Beta and Gamma for an electron that has a kinetic energy of 6.00...

geometry - Theres a circle with an equilateral triangle in the middle. The ...

mahts - Triangle ABC has area [ABC]=468. D,E and F are the midpoints of BC,CA ...

Physics: Formulas - the momnetum of a gamma photon is determined by the equation...

Math - In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such ...

heeeeeeeeeeeeeeeeeeeelp maths - In triangle ABC, points D,E,F are on sides BC,CA...

geometry - In a triangle ABC,E and F are the mid-points of AC and AB ...

help math - In triangle ABC, points D,E,F are on sides BC,CA,AB respectively ...