Question

j is the midpoint of ik and h is the midpoint of gi. if hj = 44, what is gk? gk =

Explanation:

Step1: Use the mid - segment theorem

Since \(J\) is the mid - point of \(IK\) and \(H\) is the mid - point of \(GI\), by the mid - segment theorem in a triangle, \(HJ\parallel GK\) and \(HJ=\frac{1}{2}GK\).

Step2: Solve for \(GK\)

Given \(HJ = 44\). From the formula \(HJ=\frac{1}{2}GK\), we can solve for \(GK\) by multiplying both sides of the equation by \(2\). So \(GK = 2\times HJ\).

Substitute \(HJ = 44\) into the equation: \(GK=2\times44\).

Answer:

\(88\)