Question

1. triangle abc is similar to triangle jkl.

what is the value of x in centimeters?

Explanation:

Step1: Recall similarity ratio

Since triangles \(ABC\) and \(JKL\) are similar, corresponding sides are proportional. So \(\frac{AB}{JK}=\frac{AC}{JL}\).

Step2: Substitute values

\(AB = 9\) cm, \(JK = 6\) cm, \(AC = 21\) cm, \(JL = x\) cm. So \(\frac{9}{6}=\frac{21}{x}\).

Step3: Cross - multiply and solve

Cross - multiplying gives \(9x=6\times21\). Then \(9x = 126\), and \(x=\frac{126}{9}=14\).

Answer:

14