Find VT

If RT = 5x - 14 and US = 2x + 10 find VT

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:

Step 3 - Simplify the above expression.

Step 4 - So, the length of the segment VT can be calculated as:

The length of the segment VT is 13.

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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