Ask Question
27 September, 22:50

LO bisects∠NLM, LM=26, NO=8, and LN=18. What is the value of x?

+4
Answers (1)
  1. 28 September, 01:59
    0
    Answer: 11.56

    Step-by-step explanation:

    LO bisects∠NLM,

    LM=26, NO=8 and LN=18

    We will use the angle bisector theorem

    When a line bisects an angle, ratio of the two connecting sides with the angle that is bisected will be equal to the ratio of length of the segments whereby the angle bisector intersects the third side.

    LN/LM = NO/OM

    Let OM be represented by x

    18/26 = 8/x

    Cross multiply

    18 * x = 26 * 8

    18x = 208

    x = 208/18

    x = 11.56

    OM = 11.56
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “LO bisects∠NLM, LM=26, NO=8, and LN=18. What is the value of x? ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers