Measures of the different sides of the rectangle will be,
YX = 31 units
WX = 19 units
VW = 36.36 units
ZX = 18.18 units
VX = 36.36 units
Quadrilateral VWXY is a rectangle.
Properties of a rectangle,
- Opposite sides of a rectangle are equal.
- Diagonals of a rectangle bisect each other.
- Diagonals are equal in measure.
YX = VW = 31 units
VY = WX = 19 units
By applying Pythagoras Theorem in right triangle ΔWXY,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(WY)² = (WX)² + (XY)²
YW = [tex]\sqrt{19^2+31^2}[/tex]
= [tex]\sqrt{1322}[/tex]
= 36.36 units
ZX = [tex]\frac{1}{2}(YW)[/tex]
= [tex]\frac{1}{2}(36.36)[/tex]
= 18.18 units
VX = YW = 36.36 units
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