The ratio of the lengths of three sides of a triangle is x : (x+2) : (x+3). The perimeter of the triangle is 77 inches. Assuming that x is a whole number...

Question

The ratio of the lengths of three sides of a triangle is x : (x+2) : (x+3). The perimeter of the triangle is 77 inches. Assuming that x is a whole number, what are the possible lengths of the three sides? What type of triangle is it?

Answer 1

Perimeter is the sum of the sides of the triangle.  Adding up the values of the 3 sides and setting it equal to 77, you can solve for x for one solution.