Question

Find the value of x
a. 6
b. 12
c. 4
d. 10

Answer 1

Answer:

$x=4$

Step-by-step explanation:

Midpoint Theorem: The line joining the midpoints of two sides of the triangle is half of the length of the third side and parallel to it.

From the given figure we can see that BE is the line segment joining midpoints of two sides of the triangle. This means that

$BE=\frac{1}{2} CD$        [ By midpoint theorem]

Substituting values of the lengths of BE and CD

$x+2=\frac{1}{2}\times 12$

Simplifying and solving for x.

$x+2=6$

Subtracting both sides by 2

$x+2-2=6-2$

$x=4$

∴ $x=4$