Posted by **Phillip** on Friday, July 29, 2011 at 1:41pm.

In thea diagram,ABCD is a trapezium with AB,DC and vertices A(-4;1),B(x;-3),C(1;y) and D.Determine the value of x if the distance AB is 5 units.

- geometry -
**Henry**, Friday, July 29, 2011 at 8:26pm
A(-4,1), B(x,-3).

(AB)^2 = (x-(-4))^2 + (-3-1)^2 = 5^2,

(x+4)^2 + 16 = 25 - 16 = 9 ,

Take sqrt of both sides:

x+4 = +- 3,

x = -4 +-3,

x = -1, and x = -7.

## Answer This Question

## Related Questions

- Maths (Geometry) - P is a point in rectangle ABCD. The distance from P to the 4 ...
- Geometry - Determine whether the polygons with the given vertices are similar. ...
- MATH, GEOMETRY - abcd is trapezium bc is 17 ab is 16 dc is 8 find area of abcd
- Maths-euclidean geometry - Determine with reasons the value of y(XY) in the ...
- geometry - ABCD is a trapezium ab is parallel to dc.if ^a = 58 degree,then ^d...
- Math - geometry- On the coordinate plane, draw a rectangle ABCD with vertices at...
- Geometry - Determine the vertices of rectangle ABCD, where AB = 2BC. a) ...
- maths - Let ABCD be a square with side legnth 7cm. Another square KLMN is ...
- pragati - in the given figure ABCD is a trapezium in which AD parallel to BC. ...
- Geometry - The coordinates of the vertices of quadrilateral ABCD are A (-8, 8...

More Related Questions