△JKL∼△QRS , JK is 8 centimeters, QR is 12 centimeters, and RS is 9 centimeters.
What is KL ?
corresponding sides have the same ratio.
JK/QR = 8/12 or 2/3
so, since KL corresponds to RS,
KL/RS = 2/3
RS=9, so
KL/9 = 2/3
KL = 18/3 = 6
KL/RS = JK/QR = 8/12
Now solve for KL
im sorry im confused
do i do 8/12=12/9
or something..
To find the length of KL in the similar triangles △JKL and △QRS, we can set up a proportion using the corresponding sides:
JKL/QRS = JL/RS
We are given that JK is 8 centimeters, QR is 12 centimeters, and RS is 9 centimeters. Let's substitute these values into the proportion:
8/12 = JL/9
To find JL, we can cross-multiply and then solve for JL:
12 * JL = 8 * 9
12JL = 72
Divide both sides of the equation by 12 to isolate JL:
JL = 72/12
JL = 6
Therefore, KL is 6 centimeters.