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The circle is inscribed in triangle AEC.

A circle is inscribed in triangle A E C. Points B, F, and D of the circle are on the sides of the triangle. Point B is on side A C, point D is on side E C, and point F is on side A E.

SU and VT are chords that intersect at point R.

A circle is shown. Chords S U and V T intersect at point R. The length of S R is x + 6, the length of R U is x, the length of V R is x + 1, and the length of R T is x + 4.

What is the length of line segment VT?

4 units
8 units
13 units
14 units

Respuesta :

The length of line segment VT will be 13 units.

How to calculate the length?

Based on the information, the following can be deduced:

RS = x + 6

RT = x + 4

VR = x + 1

RU = x

We will solve for x. This will be:

x(x + 6( = (x + 4)(x + 1)

x = 4

VT = VR + RT

VT = x + 1 + x + 4

VT = 2x + 5

VT = 2(4) + 5

VT = 13

Therefore, the length of line segment VT will be 13 units.

Learn more about length on:

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