Answer:
Triangles PRQ and MRN are not similar.
Step-by-step explanation:
The two triangles are PRQ and MRN.
It is given that both the triangles have ∠R = 90° as the common angle.
Now, we check whether the ratios of the sides are equal or not.
i.e. To check if [tex]\frac{PR}{MR}=\frac{QR}{NR}[/tex]
Since, we have the lengths,
PM = 8, MR = 10. Thus, PR = 8 + 10 = 18
QN = 14, NR = 7. Thus, QR = 14 + 7 = 21
So, we get,
[tex]\frac{PR}{MR}=\frac{QR}{NR}[/tex]
implies [tex]\frac{18}{10}=\frac{21}{7}[/tex]
implies 1.8 = 3, which is not true.
So, the ratio of the sides are not equal.
Hence, we get that the triangle PRQ and MRN are not similar.
