Answer:
Option A. Triangle STR
Step-by-step explanation:
we know that
If two triangles are congruent, then the corresponding sides and the corresponding angles are congruent
In this problem
If the two triangles of the figure are congruent
then
the corresponding sides are
MN and RS
NO and ST
MO and RT
and the corresponding angles are
∠N≅∠S
∠O≅∠T
∠M≅∠R
therefore
NOM≅STR
<u>Given</u>:
The triangle ABC is a right triangle.
The length of AC = 25, the length of AB = 7 and the length of BC = 24
We need to determine the ratios of sin C, cos C and tan C.
<u>Ratio of sin C:</u>
Using the trigonometric ratio, the ratio of sin C is given by

where
and 
Thus, we get;

Substituting the values, we get;

Thus, the ratio of sin C is 
<u>Ratio of cos C:</u>
The ratio of cos C can be determined using the trigonometric ratio.
Thus, we have;

where
and 

Substituting the values, we get;

Thus, the ratio of cos C is 
<u>Ratio of tan C:</u>
The ratio of tan C can be determined using the trigonometric ratio.
Thus, we have;

where
and 
Thus, we have;

Substituting the values, we get;

Thus, the ratio of tan C is 