Answer:
RS = 6 cm
Step-by-step explanation:
If the pentagons are similar, the ratio of their sides is constant. So, we can use the following equation to calculate the length of RS:
Then, we can replace the value of MN by 15 cm, LM by 9 cm, and ST by 10 cm:
Now, we can solve the equation for RS as:
Therefore, the length of the side RS is 6 cm