An isosceles triangle has a perimeter of (7x-5) cm. What is the length of each of its two equal sides if its third side is(x-1) cm?
In an isosceles triangle, the two equal sides will have the same length. Thus, if we denote the length of each equal side as "s", we have the equation:
2s + (x - 1) = 7x - 5
We can simplify this equation by combining like terms:
2s + x - 1 = 7x - 5
Next, we can isolate the "s" term by subtracting "x" from both sides:
2s - 1 = 6x - 5
Then, we isolate the "s" term by adding 1 to both sides:
2s = 6x - 4
Finally, divide both sides by 2 to solve for "s":
s = (6x - 4) / 2
s = 3x - 2
Thus, each equal side of the isosceles triangle has a length of (3x - 2) cm.