Question

an equilateral triangle has three sides of equal length. function p gives the perimeter of an equilateral triangle of side length s.
p(2) =
p(10) =
p(s) =

Explanation:

Step1: Define the perimeter function

For an equilateral triangle, perimeter \( P(s) \) is the sum of three equal sides. So \( P(s)=3s \).

Step2: Calculate \( P(2) \)

Substitute \( s = 2 \) into \( P(s)=3s \). So \( P(2)=3\times2 = 6 \).

Step3: Calculate \( P(10) \)

Substitute \( s = 10 \) into \( P(s)=3s \). So \( P(10)=3\times10 = 30 \).

Step4: General form of \( P(s) \)

From the definition, \( P(s)=3s \) as the perimeter is 3 times the side length.

Answer:

\( P(2)=\boldsymbol{6} \)
\( P(10)=\boldsymbol{30} \)
\( P(s)=\boldsymbol{3s} \)