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2 years ago

I need help with this question about similar triangles

Mathematics

1 answer:

Colt1911 [192]2 years ago

6 0

Answer:

ST = 12 units

Step-by-step explanation:

Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus

$\frac{ST}{SR}$ = $\frac{TE}{AR}$ substitute values

$\frac{ST}{21-ST}$ = $\frac{8}{6}$ ( cross- multiply )

6ST = 8(21 - ST)

6ST = 168 - 8ST ( add 8ST to both sides )

14ST = 168 ( divide both sides by 14 )

ST = 12

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