Question

I need help on both, I don’t understand. It’s dealing with similar triangles

Answer 1

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