Question

The sides of an isosceles triangle are whole numbers, and its perimeter is 96 units. What is the probability that the triangle is equilateral?

Answer 1

The probability that the triangle is equilateral is 1.

Step-by-step explanation:

An isosceles triangle has two sides that are equal in length. In this case, let's call the length of each equal side 'x'. The perimeter of the triangle is the sum of the lengths of all three sides, which is 96 units. So, the equation becomes: 2x + x = 96. Simplifying, we find that 3x = 96, which means x = 32.

Now, we need to determine the probability that the triangle is equilateral, meaning all three sides are equal in length. In an equilateral triangle, all sides are equal, so the length of each side is 'x'.

Since 'x' is 32, the probability that the triangle is equilateral is 1, because we have determined the exact length of all three sides.