The rectangular WZYX is inside the rectangular ACDB

AB= 8 cm

AC= 6 cm

WX= 8 cm

What is WZ= ?

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- Aug 24th 2012, 03:33 PMMhmh96Rectangular
The rectangular WZYX is inside the rectangular ACDB

AB= 8 cm

AC= 6 cm

WX= 8 cm

What is WZ= ?

http://store2.up-00.com/Aug12/yLN47559.jpg - Aug 24th 2012, 03:50 PMHallsofIvyRe: Rectangular
There are an infinite number of possible solutions. Imagine sliding point X toward A or B. You can aways rotate line XW around X so that W stays on AC. Each angle gives a different solution.

- Aug 24th 2012, 04:31 PMMaxJasperRe: Rectangular
1 possible solution only:

ax=6.2233

aw=5.027

wz=1.2507

cz=0.78594

wc=0.97296 - Aug 25th 2012, 03:55 AMWilmerRe: Rectangular
Why not (as an attempt) make angle AWX = 60 degrees; then AW = 4 and AX = 4SQRT(3)

- Aug 25th 2012, 11:39 AMearbothRe: Rectangular
If and only if the points W, X, Y and Z has to be placed on the sides of the rectangle ABCD

**and**Then there is only one unique solution of this question. See attachment #2 to see what happens if is changing but remains constant. Only the thick outlined quadrilateral is a rectangle, all other quadrilaterals are trapezoids.

According to the labeling in attachment #1 you'll get:

...........**[1]**

The adjacent sides of the rectangle are perpendicular to each other. Using the slopes of the sides you'll get:

...........**[2]**

From [2] you'll get:

Plug in the term of x into [1] and solve for y. I've to confess that this task was done by my calculator. You'll get:

and consequently

Since you'll get - Nov 1st 2012, 02:48 AMelisaevedentRe: Rectangular
- Nov 8th 2012, 08:21 PMChalama123Re: Rectangular
- Nov 19th 2012, 12:35 AMjesongRe: Rectangular
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