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Aneli [31]
3 years ago
5

How do I solve the length of AC?​

Mathematics
1 answer:
Crank3 years ago
7 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

∆ABC and ∆ADE are similar triangles.

Thus ;

\frac{AD}{AC}  =  \frac{DE}{BC}  =  \frac{AE}{AB}  \\

So :

\frac{5}{3 + 2x}  =  \frac{4}{8}  \\

\frac{5}{3 + 2x}  =  \frac{1}{2}  \\

Inverse both sides

\frac{3 + 2x}{5}  =  \frac{2}{1}  \\

\frac{2x + 3}{5}  = 2 \\

Multiply sides by 5

5 \times  \frac{2x + 3}{5}  = 5 \times 2 \\

2x + 3 = 10

Thus ;

AC = 2x + 3 = 10

AC = 10

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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