Problem: Triangle is equilateral with side , perimeter , area , and circumradius (radius of the circumscribed circle). Triangle II is equilateral with side , perimeter , area , and circumradius . If is different from , then:
Answer Choices:
A. only sometimes
B. P:p = R:r always
C. P:p = K:k only sometimes
D. always
E. R:r = K:k only sometimes
Solution:
Since the triangles are similar, we have always, so that ( ) is the correct choice.