the perimeter of the scalene triangle is 54.6 cm. which equation can be used to find the value of b if side…

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

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

Answer

Explanation:

Step1: Find the length of side 3a

Given (a = 8.7) cm, then (3a=3\times8.7 = 26.1) cm.

Step2: Use the perimeter formula

The perimeter of a triangle (P=a + b+3a). We know (P = 54.6) cm. Substituting the values of (a) and (3a) into the perimeter formula, we get (8.7 + b+26.1=54.6), which simplifies to (26.1 + b=54.6) (since (8.7+26.1 = 34.8) and we are looking for the equation in terms of (b) and the known - value side).

Answer:

C. (26.1 + b=54.6)