Question

What is x?



Triangle L M N has a lie segment going from point M to point O, which is on side L N. Angles L M O and N M O are equal in measure. Line segment M N is twelve centimeters, line segment N O is five centimeters, line segment P L is fourteen centimeters and line segment L M is x centimeters long.

Question 3 options:

x equals 35 over 6


x equals 30 over 7


x equals 168 over 5


x equals 196 over 19

Answer 1

Answer:

Option 3) 24 is right.

Step-by-step explanation:

Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm

Also MO is the angle bisector of angle M.

By applying angle bisector theorem for triangles we get

LM/MN = LO/NO

i.e. x/12 = 14/7

Simplify to get x = 24

Hence option 3 is right

Verify:

Check whether angle bisector theorem is true.

The proportion LM/MN =24/12 = 2

The proportion LO/NO  =14/7 =2

Both are equal and hence verified

Answer 2

I don’t know the answer to the question