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3 years ago

11

A rectangular dance floor has a width of 12 meters and a length of 16 meters. What is the length of a diagonal of the dance floo

r?

1 answer:

lesya692 [45]3 years ago

7 0

Answer:

d=20m

Step-by-step explanation:

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

ch4aika [34]

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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