Find the value of x.

a.
2
b.
4
c.
6
d.
8

select the best answer from the choices provided

The correct option is B.

Step-by-step explanation:

From the given figure it is clear that triangle LMN is a right angled triangle.

According to Pythagoras theorem: In a right angled triangle

In triangle LMN,

Subtract 20 from both sides.

Taking out common factors.

Splitting the middle term we get

Using zero product property we get

The value of can not be negative because side of a triangle is always positive. So, the value of x is 4.

Therefore the correct option is B.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7