Question

find the value of \a\ and $overline{ln}$ if m is the midpoint of ln. mn = 2a and lm = 24 desmos

Explanation:

Step1: Use mid - point property

Since M is the mid - point of LN, then LM = MN. Given LM = 24 and MN = 2a, we set up the equation 2a=24.

Step2: Solve for a

Divide both sides of the equation 2a = 24 by 2. So, $a=\frac{24}{2}=12$.

Step3: Calculate LN

Since LN=LM + MN and LM = MN = 24, then LN=24 + 24=48.

Answer:

a = 12; LN = 48