If the following figure is a rectangle, find the missing measures. round all answers to 1 decimal place if necessary.
1 answer:
Answer:
VW=31
WX=19
YW=36.4 or
ZX= 18.2 or
VX= 36.4 or
Step-by-step explanation:
Since the figure is a rectangle certain rules about the lengths of its sides and diagonals apply. One such rule is that opposite sides are equal, so YX=VW and VY=WX. Then you need to find the length of the diagonals by using the Pythagorean theorem since the diagonals cut the rectangle into two right triangles. By using the theorem you can find that the length of the diagonal YW is 36.4 or , and since all diagonals are congruent VX is the same. Finally, in rectangle diagonals bisect each other, therefore part of one must be half of the total, so ZX must be half of VX.
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Answer:
Circumcenter theorem states that the vertices of the each triangle are equidistant from the circumcenter.
As per the statement:
It is given that: P is the circumference
From the given figure:
CP = 12 units.
then;
by circumcenter theorem;
AP= BP =CP = 12 units.
Next find the value of AB:
Labelled the diagram:
AD = 11 units
then;
AB = AD+DB
Since: AD=DB [You can see it from the given figure]
then;
AB = 2AD = 2(11) = 22 units
Therefore, the value of BP and AB are: 12 units and 22 units
