Answers
Answer:
assuming this is a rectangle:
VW=31
WX=19
YW=36.36
ZX=18.18
VX=36.36
Step-by-step explanation:
VW=VX
VW=31
WX=VX
WX=19
YW^2=19^2+31^2
YW^2=361+961
YW^2=1322
YW=36.36
ZX=1/2VX
ZX=18.18
VX=YW
VX=36.36
The measures of the rectangle are
a) The measure of VW = 31
b) The measure of WX = 19
c) The measure of YW = 36.36
d) The measure of ZX = 18.18
e) The measure of VZ = 18.18
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the rectangle be represented as VWXY
Now , the diagonals of the rectangle are VX and WY
Substituting the values in the equation , we get
The measure of VY = 19
The measure of XY = 31
Now , for a rectangle the opposite sides are congruent
So , the measure of VY = measure of WX
And , the measure of XY = measure of VW
On simplifying the equation , we get
The measure of WX = 19
The measure of VW = 31
And , the diagonal of the rectangle = √ ( Length )² + ( Width )²
Substituting the values in the equation , we get
The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²
The diagonal of the rectangle YW = √ ( 961 + 361 )
The diagonal of the rectangle YW = 36.359 ≈ 36.36
And , the measure of VX = measure of YW = 36.36
Now , the measure of ZX = measure of VZ = measure of VX / 2
So , the measure of ZX and VZ = 36.36 / 2 = 18.18
Hence , the diagonal of the rectangles is 36.36
To learn more about diagonals of the rectangle click :
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