Question

an equilateral triangle has three congruent sides that measure 1\frac{3}{4} inches on each side. what is the perimeter of the triangle?

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{3}{4}=\frac{4\times1 + 3}{4}=\frac{7}{4}$

Step2: Calculate perimeter of equilateral triangle

The perimeter $P$ of an equilateral triangle with side length $s$ is $P = 3s$. Here $s=\frac{7}{4}$, so $P=3\times\frac{7}{4}=\frac{21}{4}=5\frac{1}{4}$

Answer:

$5\frac{1}{4}$ inches