tyrellcannon7 tyrellcannon7

23-07-2021
Mathematics

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What is the length of CD? In this diagram, AABC ~ AEDC. 20-% c * 7 21

What is the length of CD In this diagram AABC AEDC 20 c 7 21 class=

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Аноним Аноним

23-07-2021

Answer:

[tex]\frac{BC}{DC}=\frac{AC}{EC}[/tex]

[tex]\frac{20-x}{x} =\frac{21}{7}[/tex]

[tex]\frac{20-x}{x} =3[/tex]

[tex]20-x=3x[/tex]

[tex]4x=20[/tex]

[tex]x=5[/tex]

[tex]So, CD=5[/tex]

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