Question

JKL~QRS, JK is 9cm, QR is 12cm, and RS is 8cm.
What is KL?

Answer 1

KL = 10.67 cm

Explanation:

In similar triangles, the corresponding sides in same proportion.

ΔJKL ~`ΔQRS

`\sf (JK)/(QR) =(KL)/(RS) = (JL)/(QS)\\\\\\(JK)/(QR)=(RS)/(KL)\\\\\\(9)/(12)=(8)/(KL)\\\\\\Cross \ multiply, \\\\ 9* KL = 8*12\\\\KL = (8*12)/(9)\\\\\\KL =(8*4)/(3)\\\\\\KL = (32)/(3)`

KL = 10.67 cm