Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2. points j, k and l are collinear. point k bisects jl. find jl if jk =…

Question

  1. points j, k and l are collinear. point k bisects jl. find jl if jk = 12 jl=

Explanation:

Step1: Recall the definition of a bisector

A bisector of a segment divides it into two equal parts. So, if \( K \) bisects \( JL \), then \( JK = KL \) and \( JL=JK + KL \).

Step2: Substitute the known value of \( JK \)

We know that \( JK = 12 \). Since \( K \) bisects \( JL \), \( KL=JK = 12 \). Then \( JL=JK + KL=12 + 12 \).

Step3: Calculate \( JL \)

\( 12+12 = 24 \).

Answer:

\( 24 \)