Isosceles Triangle Lengths Comparison

In triangle ABC, angle A measures 60 degrees, and the lengths of sides AB and AC are equal to 5 cm. Since AB = AC, triangle ABC is an isosceles triangle. Let the length of side BC be denoted as x cm.

What is the relationship between the lengths of side BC (Quantity A) and the height from A to BC (Quantity B)?

Recall that the height divides triangle ABC into two right triangles, each with a base of $\frac{x}{2}$ cm and a height h. Using the Pythagorean theorem, we have:

$$ h^2 + igg(\frac{x}{2} igg)^2 = 5^2 $$

Determine the relationship between Quantity A and Quantity B.