Question

Use the Side-Splitting Theorem to find the value of x.

Answer 1

The required "option D. 9.6" is correct.

Step-by-step explanation:

In given figure,

AD = x, DB = 12, BE = 8 and EC = 10

To find, the value of x = ?

Use the Side-Splitting Theorem,

We know that,

$\dfrac{AD}{DB} =\dfrac{BE}{EC}$

⇒ $\dfrac{x}{12} =\dfrac{8}{10}$

⇒ x =$\dfrac{8 \times 12}{10}$

⇒ x = $\dfrac{96}{10}$

⇒ x = 9.6

∴ The value of x = 9.6

Thus, the required "option D. 9.6" is correct.