1. ## Geometry problems!

Okay so i got a giant packet full of everything and i don't get these 3 questions

There is a link attached to where the document is and it is on page 54 questions 4, 5 and 6

the archeology problem and thet pizza delivery problem.

http://mydragonnet.hkis.edu.hk/proce...25%2Fchp10.pdf

2. Hello, ncbabe!

Here's some help . . .

Code:
(4)

C
* * *
*    3|     *
A* - - - * - - - *B
*  *    D|  12 *  *
*   |   *R
*       * | *       *
*         *         *
O

We have: . $OA = OB = OC = R\text{ (radius)}$
. . . .and: . $AD = DB = 12$

Since $CD = 3$, then: . $DO = R-3$

In right triangle BDO, we have: . $(R-3)^2 + 12^2 \:=\:R^2$

. . which simplifies to: . $6R \:=\:153 \quad\Rightarrow\quad\boxed{ R \:=\:\frac{51}{2}}$

Code:
(5)
C
* * *
*       |   *
*         |     *
*          |      *
|P
A* - - - - - o - - - *B
*   12.8    |  2.8  *
*           |       *
|
*     22.4 |      *
*         |     *
*       |   *
* * *
D
We're expected to know this theorem.

With two intersecting chords, the product of the segments of one chord
. . equals the product of the segments of the other chord.

In this problem: . $(CP)(PD) \:=\AP)(PB)" alt="(CP)(PD) \:=\AP)(PB)" />

So we have: . $(CP)(22.4) \:=\12.8)(2.8)\quad\Rightarrow\quad\boxed{CP \:=\:1.6} " alt="(CP)(22.4) \:=\12.8)(2.8)\quad\Rightarrow\quad\boxed{CP \:=\:1.6} " />