Length of equal sides of an isosceles triangle is 4cm less than twice the length of third side.find length of equal sides if perimeter of the triangle is 57 cm
Let the third side be x. Then the equal sides are 2x-4.
As we know, Perimeter=Sum of all the sides, i.e., 57=x + (2x-4) + (2x-4)
Solve this, you will get the value of x. Then place the value of x in 2x-4. That is the required answer. (22)
22 metre
To solve this problem, we need to set up and solve an equation based on the information given.
Let's assume that the length of each equal side of the isosceles triangle is "x" cm.
According to the problem, the length of each equal side is 4 cm less than twice the length of the third side. The third side would then be (2x + 4) cm.
The perimeter of a triangle is the sum of its three sides, so we can set up the equation:
x + x + (2x + 4) = 57
Simplifying the equation, we have:
4x + 4 = 57
Subtracting 4 from both sides:
4x = 53
Dividing both sides by 4:
x = 53/4
So, the length of each equal side of the isosceles triangle is 13.25 cm.
Therefore, the length of each equal side is 13.25 cm.