Answer:
[tex]MO = 4.92[/tex]
Step-by-step explanation:
Given
See attachment for triangles
Required
Find MO
To do this, we make use of triangle 2 because it is similar to MNO.
To calculate MNO, we make use of the following equivalent ratios.
[tex]MN : MO = 10:8.2[/tex]
Express as fraction
[tex]\frac{MO}{MN} = \frac{8,2}{10}[/tex]
[tex]\frac{MO}{MN} = 0.82[/tex]
Substitute [tex]MN =8[/tex]
[tex]\frac{MO}{8} = 0.82[/tex]
Solve for MO
[tex]MO = 8 * 0.82[/tex]
[tex]MO = 4.92[/tex]
