Answer: u=6m
Step-by-step explanation:
The 2 triangles, LKO and NMO are similar by AAA congruence. Therefore, we can use ratios to find u.
[tex]\frac{5}{10}=\frac{3}{u}[/tex]
Notice how the 5 and 10 are each inbetween the double and single angle congruence indicators in the image. u and 3 are also both in between the right angle and double line indicator.
When you cross multiply, you get 5u=30, and after simplifying you get u=6 m
Another way you could have done this is by finding the scale factor.
The scale factor between corresponding sides in the 2 triangles is 2. (5 x 2 = 10).
When you multiply 3 by 2, you also get 6 m.
