Question

are these shapes similar?

Explanation:

Step1: Check the side - length ratios

For the first triangle (triangle \(LKM\)) with all sides \(41\) yd. For the second triangle (triangle \(MYX\)) with sides \(37\) yd, \(30\) yd, and \(41\) yd.
The ratio of the sides of the first triangle to the second triangle:
For the side of length \(41\) yd in the first triangle and \(41\) yd in the second triangle, the ratio is \(\frac{41}{41}=1\).
For the side of length \(41\) yd in the first triangle and \(37\) yd in the second triangle, the ratio is \(\frac{41}{37}\approx1.11\).
For the side of length \(41\) yd in the first triangle and \(30\) yd in the second triangle, the ratio is \(\frac{41}{30}\approx1.37\).
Since the side - length ratios are not equal (\(1
eq1.11
eq1.37\)).

Answer:

no