Answer:
VT = 13 units
Step-by-step explanation:
The diagonals are congruent and bisect each other, that is
RT = US , substitute values
5x - 14 = 2x + 10 ( subtract 2x from both sides )
3x - 14 = 10 ( add 14 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
Thus
RT = 5x - 14 = 5(8) - 14 = 40 - 14 = 26
VT = 0.5 × RT = 0.5 × 26 = 13
The length of the segment VT is 13 and this can be determined by using the properties of a rectangle and the given data.
Given :
The following steps can be used in order to determine the length of the segment VT:
Step 1 - The diagonals of the given rectangle are equal.
Step 2 - So, the value of 'x' can be calculated as:
[tex]5x-14 = 2x+10[/tex]
Step 3 - Simplify the above expression.
[tex]\begin{aligned}\\3x& = 24\\x &= 8\\\end{aligned}[/tex]
Step 4 - So, the length of the segment VT can be calculated as:
[tex]VT = \dfrac{RT}{2}[/tex]
[tex]VT = \dfrac{5(8)-14}{2}[/tex]
[tex]VT = 13[/tex]
The length of the segment VT is 13.
For more information, refer to the link given below:
https://brainly.com/question/10046743
