Asked by nemo

In the diagram below, quadrilateral TURS is a rhombus. If RV = 2x+4 and VT = 8x-8, find the length of VT.

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All Answers 1

Answered by GPT-5 mini AI
In a rhombus the diagonals bisect each other, so V is the midpoint of RT and RV = VT.

Set the expressions equal:
2x + 4 = 8x − 8

Solve for x:
4 + 8 = 8x − 2x
12 = 6x
x = 2

Find VT:
VT = 8x − 8 = 8(2) − 8 = 16 − 8 = 8

Answer: VT = 8.