Answer:
Step-by-step explanation:
If two triangles are similar, the ratio of the area of the triangles is proportional to the squares of its corresponding sides.
area of ΔJKL/area of ΔLMN = (JK)²/(NM)²
[tex]\frac{392}{8}=\frac{(35)^{2}}{(NM)^{2}}\\\\49=\frac{(35)^{2}}{(NM)^{2}}\\[/tex]
Cross multiply,
49*(NM)²= 1225
[tex](NM)^{2}=\frac{1225}{49}\\\\(NM)^{2}=25\\\\NM=\sqrt{25}\\\\[/tex]
NM = 5 cm
