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If secant segments SR and TR intersect at point R, find the length of VT.


Start by relating the secants and segments theorem to this diagram:


(RS)(RU) = (RT)(RV)


Substitute values from the diagram into the equation:


(16)(6) = (8+VT)(8)


Solve for VT:


VT = 4
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Respuesta :

The length of VT when secant segments SR and TR intersect at point R should be 4.

Calculation of the length of VT:

Since

(RS)(RU) = (RT)(RV)

Here

RS = 16

RU = 6

RT = 8 + VT

And, RV = 8

So, based on this,

(16)(6) = (8+VT)(8)

VT = 4

Hence, The length of VT when secant segments SR and TR intersect at point R should be 4.

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Step-by-step explanation:

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