The sum of the lengths of the sides of triangle ABC is 25 in. The lengths of sides AB and BC are 9 inches and 8 inches. Find the length of side AC and classify the triangle.
Hmmm. AC=total-AB-BC
To find the length of side AC, we can start by using the formula for the sum of the lengths of the sides of a triangle, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, let's use the given information to set up an equation:
AB + BC + AC = 25
Substituting the given lengths:
9 + 8 + AC = 25
Now we can solve for AC:
AC = 25 - 9 - 8
AC = 8
Therefore, the length of side AC is 8 inches.
To classify the triangle, we can use the lengths of its sides. In this case, we have the lengths AB = 9 inches, BC = 8 inches, and AC = 8 inches.
Since all three sides are equal, this triangle is classified as an equilateral triangle.