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 are congruent.
Let's call the length of each equal side of the isosceles triangle "s".
The perimeter of the isosceles triangle is the sum of the lengths of all three sides.
Perimeter = (length of first side) + (length of second side) + (length of third side)
(7x - 5) = s + s + (x - 1)
Simplify the equation:
7x - 5 = 2s + x - 1
Subtract x from both sides:
6x - 5 = 2s - 1
Add 1 to both sides:
6x - 4 = 2s
Divide both sides by 2:
3x - 2 = s
So, the length of each equal side of the isosceles triangle is 3x - 2 cm.