Question

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

Answer 1

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

Answer 2

we know that

If triangles JKL and STU are similar

then

the ratio of the corresponding sides are equals

so

`(LK)/(UT)= (JK)/(ST)`

we have

`UT=5\ ft`

`JK=2.5\ ft`

`ST=10\ ft`

substitute

`(LK)/(5)= (2.5)/(10) \\ \\LK=5*2.5/10 \\ \\LK=1.25\ ft`

therefore

the answer is the option A

`LK=1.25\ ft`