Question

Please help me Show your work 10 points

Answer 1

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 $\frac{PR}{MR}=\frac{QR}{NR}$

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,

$\frac{PR}{MR}=\frac{QR}{NR}$

implies $\frac{18}{10}=\frac{21}{7}$

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.