The first side of a triangle is 4 inches shorter than the second side. The third side is 10 inches longer than the second side. The perimiter of the triangle is 66 inches, how long is each side?

ghftdj

Step-by-step explanation:

11, 7, 17 sides

Step-by-step explanation:

LABELS: x = base, x-4 = one side, x+6 = second side. Perimeter = a + b + c.

--

VERBAL MODEL - the sum of the three sides must be greater than or equal to 26.

--

ALGEBRAIC MODEL - x + x-4+x+6 >= 26

--

SOLVE:

x+%2B+x-4%2Bx%2B6+%3E=+26

combine like terms to get

3x%2B2+%3E=26

subtract to get

3x+%3E=24

divide to get

x+%3E=8

So,

x = 8,

x-4 = 4

x+6 = 14

--

However, these side length don't make a triangle. The first base value that does work is 11.

x = 11

x-4 = 7

x+6 = 17

---

CHECK

4+8+14 >= 26

16>= 26 [true].

However, these side length don't make a triangle.

11+7+17 >= 26

35>= 26 [true]

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves