Question

what is the value of y?
triangle with vertices h, i, g. angles at h, i, g are marked as equal (isosceles triangle). side hi is length 8, side hg is length y, side gi is unknown. the question is to find y.
y = \boxed{}

Explanation:

Step1: Identify triangle type

The triangle has all three angles marked equal, so it is an equilateral triangle. In an equilateral triangle, all sides are equal.

Step2: Set equal side lengths

Side $HI = 8$, and side $GH = y$. Since all sides of an equilateral triangle are equal, $y = HI$.
<Expression>
$y = 8$
</Expression>

Answer:

$8$