ΔMNL is an isosceles triangle. P (Δ) = 60 cm, and the MN side is 2 times longer than the ML

ΔMNL is an isosceles triangle. P (Δ) = 60 cm, and the MN side is 2 times longer than the ML side. Find the length of the sides of the triangle.

1. By the condition of the problem, it is known that the perimeter P of an isosceles triangle MNL is 60 cm, and the lateral edge is 2 times longer than the base.

2. Let’s denote the lateral side MN by x cm.

Then the base, in accordance with the condition, is x / 2 cm.

We know that MN = NL = x.

Let’s compose and solve the equation:

MN + NL + ML = x + x + x / 2 = 60 cm; whence 2.5 x = 60 cm or x = 60 cm: 2.5 = 24 cm.

So ML = 24 cm: 2 = 12 cm.

Answer: The length of the sides of the triangle is 24 cm, and the base is 12 cm.