Question

SOMEONE HELP ME PLEASE I NEED AN EXPLANATION A GOOD ONE!!!!

Answer 1

The length of MK is 9

Explanation:

The length of the sides are $J K=36$ , $\mathrm{JL}=48$ , $J N=60$

We need to determine the length of MK

From the figure, we can see that JMN is a triangle and KL is parallel to MN.

Then, by side - splitter theorem, we have,

$\frac{JK}{KM} =\frac{JL}{LN}$

where $J K=36$ , $\mathrm{JL}=48$

The length of LN can be determined by subtracting JN and JL.

Thus, we have,

$LN=JN-JL$

$LN=60-48=12$

The length of LN is $LN=12$

Substituting the values $J K=36$ , $\mathrm{JL}=48$ and $LN=12$ in $\frac{JK}{KM} =\frac{JL}{LN}$, we have,

$\frac{36}{KM} =\frac{48}{12}$

Multiplying both sides by 12, we have,

$\frac{36\times 12}{KM} =48$

 $\frac{432}{KM} =48$

  $\frac{432}{48} =KM$

     $9=KM$

Thus, the length of MK is 9