Question

Triangles C and D are similar. Triangle C is equilateral and has a perimeter of 42 feet. One side of Triangle D is half the length of one side of Triangle C. What is the perimeter of Triangle D?

Answer 1

`\begin{gathered} \text{The triangle C is equilateral, } \\ So\Rightarrow x+x+x=42 \\ \Rightarrow3x=42 \\ \Rightarrow x=14 \\ x\text{ is the side of the triangle C,} \\ \text{Now, for triangle D, } \\ \text{The side is y for triangle D} \\ So,\Rightarrow y=(x)/(2)=(14)/(2)=7 \\ \text{The perimeter of D is,} \\ \Rightarrow y+y+y=7+7+7=21 \end{gathered}`