The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?If s represents the length of the second side, which of the following represents the length of the third side?
Accepted Solution
A:
Answer:[tex]\boxed{\frac{23}{3} ~in}[/tex] or [tex]\boxed{7,7~in}[/tex].Step-by-step explanation:Suppose, the first side is a, the second side is b, and the third side is c. So:→ a = s - 4→ b = s→ c = (s - 4) + 3→ a + b + c = 15First step, find the value of sa + b + c = 15(s - 4) + s + (s - 4) + 3 = 153s - 5 = 153s = 15 + 53s = 20[tex]s = \frac{20}{3}[/tex]So, the third side isc = (s - 3) + 4c = s + 1c = [tex]\frac{20}{3} + 1[/tex][tex]c = \frac{23}{3}[/tex].Happy to help :)