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Igoryamba
3 years ago
14

Find the measure of the line segment GE. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

The measure of the line segment GE is 18\ units

Step-by-step explanation:

we know that

<u>The Intersecting Secant-Tangent Theorem</u> , states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment

so

In this problem

GE*GF=GH^{2}

substitute the values

(8+x)(8)=12^{2}

solve for x

8x+64=144

8x=144-64

8x=80

x=10

Find the measure of the line segment GE

GE=8+10=18\ units

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