Question

determine if triangle ghi and triangle jkl are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.)
answer attempt 1 out of 2
the triangles similar.

Explanation:

Step1: Check the ratios of corresponding sides

For triangle \(GHI\) with sides \(GH = 27\), \(HI=20\), \(GI = 37\) and triangle \(JKL\) with sides \(LJ = 70\), \(JK = 54\), \(KL = 40\)
Check \(\frac{GH}{JK}=\frac{27}{54}=\frac{1}{2}\), \(\frac{HI}{KL}=\frac{20}{40}=\frac{1}{2}\), \(\frac{GI}{LJ}=\frac{37}{70}
eq\frac{1}{2}\)

Answer:

The triangles are not similar.