Question

Lo−→ bisects ∠nlm , lm = 18, no = 4, and ln = 10. what is the value of x?

Answer 1

To find the value of x, we can use the Angle Bisector Theorem. The value of x is 5.

Step-by-step explanation:

To find the value of x, we can use the Angle Bisector Theorem. According to this theorem, the ratio of the lengths of the segments formed by the angle bisector is equal to the ratio of the lengths of the opposite sides of the triangle. In this case, let's denote the length of XO as x. Using the Angle Bisector Theorem, we can write:

10/x = 18/(4+x)

Now, we can cross multiply and solve the equation for x:

10(4+x) = 18x

40 + 10x = 18x

40 = 8x

x = 5

Therefore, the value of x is 5.