Question

j is the midpoint of hj and k is the midpoint of gj.
if jk = 30, what is gh?
gh =
submit

Explanation:

Step1: Use the mid - segment theorem

The mid - segment theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Here, \(FK\) is the mid - segment of \(\triangle GHJ\) (since \(F\) is the midpoint of \(GH\) and \(K\) is the midpoint of \(GJ\)). So, \(FK=\frac{1}{2}HJ\).

Step2: Solve for \(HJ\)

Given \(FK = 30\). From \(FK=\frac{1}{2}HJ\), we can solve for \(HJ\) by multiplying both sides of the equation by \(2\). So, \(HJ = 2\times FK\).
Substitute \(FK = 30\) into the equation: \(HJ=2\times30\).

Answer:

\(60\)