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trasher [3.6K]
3 years ago
12

PLEASE HELP ASAP FIND THE LENGTH

Mathematics
1 answer:
Bond [772]3 years ago
5 0
Triangle ABC:
<ABC=90°
<ACB=y

Triangle CDE:
<CDE=90°
<DCE=y

The two triangles have two congruent angles, then they are similars, and theirs sides must be proportionals:

Adjacent angle to y / Hypotenuse

Triangle CDE       Triangle ABC
CD/CE             =       BC/AC

Replacing the values:
x/7=(20-x)/21

Solving for x. Cross multiplication:
(21)(x)=(7)(20-x)
21x=140-7x
21x+7x=140-7x+7x
28x=140
28x/28=140/28
x=5

Length of CD = x = 5

Answer: The length of CD is 5

Answer: 5  
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<h3>What is Triangle?</h3>
  • A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
  • In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
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  • All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
  • Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

given that

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