The vertical line test, can be done with a pencil, and it's very simple. You run the object in a vertical position, horizontally across the graph, and if it hits two points on the same Y-Axis, your function is actually a relation, since functions are not allowed to have two coordinates on the same line.
<span>Let the ends of the horizontal stick be AB
Let the ends of the vertical stick be CD
Let the two sticks intersect at O.
The perimeter of the kite will be BD+DA+AC+CB
Given: The sticks intersect at right angle at 60cm from the bottom.
The vertical stick bisects the horizontal stick.
Therefore, in triangle BOC, angle BOC = 90 degrees. OC = 60 cm. OB=40 cm.
BC is the hypotenuse of the triangle.
Therefore, according to Pythagorean theorem,
BC^2 = OB^2 + OC^2
BC^2 = 60^2 +40^2
BC = sqrt(5200)
In triangle AOC, AO=OB and OC is common for both the triangles AOC and BOC.
Therefore AC=BC=72.1 cm
In triangle BOD,
OB=40 cm, OD=30 cm.
According to Pythagorean theorem,
=40^2 + 30^2
In triangle AOD the measures of AO=OB and OD is common for both the triangles AOD and BOD. Therefore, the measure of AD=BD
Perimeter of the kite =BD+DA+AC+CB
Perimeter of the kite =244 cm</span>