Question

jh is a midsegment of △klm. find the value of x.

Explanation:

Step1: Recall Midsegment Theorem

The Midsegment Theorem states that the midsegment of a triangle is parallel to the third side and half its length. So, \( JH=\frac{1}{2}LM \).

Step2: Substitute Known Value

We know \( JH = 9 \) and \( LM=x \). From the theorem, \( 9=\frac{1}{2}x \).

Step3: Solve for \( x \)

Multiply both sides by 2: \( x = 9\times2 = 18 \).

Answer:

\( x = 18 \)