Question

4 triangle jkl is similar to triangle gkh.

Explanation:

Answer:

Since \(\triangle{JKL}\sim\triangle{GKH}\), the ratios of corresponding - sides are equal. The ratio of the sides of the similar triangles is \(\frac{GK}{JK}=\frac{6}{6 + 4}=\frac{6}{10}=\frac{3}{5}\). Then \(\frac{x}{15}=\frac{3}{5}\), cross - multiplying gives \(5x=45\), and \(x = 9\).
9