Question

what is hk?
hk =
53

Explanation:

Step1: Identify Triangle Type

The triangle \( \triangle HIJ \) has \( HI = IJ \) (marked congruent) and \( IK \perp HJ \), so \( IK \) is the perpendicular bisector.

Step2: Apply Perpendicular Bisector Theorem

In an isosceles triangle, the perpendicular from the apex to the base bisects the base. Thus, \( HK = KJ \).

Step3: Determine \( HK \)

Given \( KJ = 53 \), so \( HK = 53 \).

Answer:

\( 53 \)