SOLUTION: Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63. Show all your work.

Question 333591: Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63. Show all your work.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The perimeter of a triangle is simply the sum of the measures of the sides. So if the perimeter is 63 and the measures of the sides are

and

, then you can write:

Solve the equation for

and then substitute the value of

back into the three expressions for the measures of the three sides of the triangle.

If all three sides are equal, then you have an equilateral triangle. If two of the sides are equal and the third one is different, then you have an isosceles triangle. Otherwise, you have a scalene triangle. Let me know what you discover about your triangle.

John

My calculator said it, I believe it, that settles it

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