Answer:
11. MN = 4 m
12. LK = 8 m
Explanation:
11. Apply pythagorean theorem to find MN:
MN = √(5² - 3²) = √(25 - 9) = √16
MN = 4 m
12. Recall: The ratio of the corresponding side lengths of any two given similar triangles are equal.
MN corresponds to LK
MO corresponds to KO
Therefore:
LK/MN = KO/MO
LK/4 = 10/5
LK/4 = 2
Multiply both sides by 4
LK = 2*4
LK = 8 m