Question

the perimeter of the scalene triangle is 54.6 cm. which equation can be used to find the value of b if side a measures 8.7 cm? 8.7 + b = 54.6; 17.4 + b = 54.6; 26.1 + b = 54.6; 34.8 + b = 54.6

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. Here $P=a + 3a + b$. Given $P = 54.6$ cm and $a=8.7$ cm. Substitute $a$ into the formula: $8.7+3\times8.7 + b=54.6$. First, calculate $3\times8.7 = 26.1$. So the equation becomes $8.7+26.1 + b=54.6$.

Step2: Simplify the left - hand side

$8.7+26.1=34.8$. The equation is $34.8 + b=54.6$.

Answer:

The correct equation is $34.8 + b=54.6$, so the answer is the first option: $34.8 + b=54.6$