Answer:
Therefore, the length of side RS, when side EF = 25, is approximately 41.07.
Explanation:
Since triangle PRS is similar to triangle DEF, the corresponding sides of the triangles are in proportion. We can set up a proportion using the given lengths:
PR/DE = RS/EF
Substituting the given values:
23/14 = RS/25
To find the length of side RS, we can cross-multiply and solve for RS:
23 * 25 = 14 * RS
575 = 14 * RS
Divide both sides by 14:
RS = 575/14
RS ≈ 41.07