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PLEASE HELP!!!!
Triangle JKL is similar to triangle STU. What is the length of side LK?
A) 1.25 ft
B) 2.5 ft
C) 5 ft
D) 12.5 ft

PLEASE HELPTriangle JKL is similar to triangle STU What is the length of side LK A 125 ft B 25 ft C 5 ft D 125 ft class=

Respuesta :

The answer is A because triangle JKL is 4 times smaller than triangle STU
calculista

we know that

If triangles JKL and STU are similar

then

the ratio of the corresponding sides are equals

so

[tex]\frac{LK}{UT}= \frac{JK}{ST}[/tex]

we have

[tex]UT=5\ ft[/tex]

[tex]JK=2.5\ ft[/tex]

[tex]ST=10\ ft[/tex]

substitute

[tex]\frac{LK}{5}= \frac{2.5}{10} \\ \\LK=5*2.5/10 \\ \\LK=1.25\ ft[/tex]

therefore

the answer is the option A

[tex]LK=1.25\ ft[/tex]

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