Question

Please solve and explain

Answer 1

The value of x = 15

Hence,

• AB = x = 15 in

• BC = 2x+1 = 2(15)+1 = 30+1 = 31 in

• AC = x-3 = 15 - 3 = 12 in

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,

• AB = x = 15 in

• 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