Answer:
The value of x = 15
Hence,
- BC = 2x+1 = 2(15)+1 = 30+1 = 31 in
- AC = x-3 = 15 - 3 = 12 in
Step-by-step explanation:
We know that the perimeter of a triangle is the sum of all the sides of a triangle.
Given
Perimeter = 58 in
AB = x
BC = 2x+1
AC = x-3
so the equation becomes
Perimeter = AB + BC + AC
58 = x + 2x+1 + x-3
58 = 4x - 2
4x = 58+2
4x = 60
4x/4 = 60/4
x = 15
Thus, the value of x = 15
Hence,
- BC = 2x+1 = 2(15)+1 = 30+1 = 31 in
- AC = x-3 = 15 - 3 = 12 in
VERIFICATION
Perimeter = AB + BC + AC
58 = 15+31+12
58 = 58
