Answer: 10 inches
Step-by-step explanation:
If the two triangles are similar, that means their sides are proportional to each other.
- JK = 15
- JL = 15 + 6 = 21
- JM = 14
The proportion would look like this:
[tex]\frac{JK}{JL} =\frac{JN}{JM}\\[/tex]
Substitute in the values:
[tex]\frac{15}{21} =\frac{JN}{14}[/tex]
Cross-multiply and solve for JN:
[tex]21*JN=15*14\\JN=\frac{15*14}{21} =\frac{210}{21} =10[/tex]
