Question

WILL AWARD BRAINLIEST What is the value of x?

Answer 1

Answer:

Option (3)

Step-by-step explanation:

By applying mean proportional theorem in the given triangle ABC,

$\frac{\text{AD}}{\text{BD}}=\frac{\text{BD}}{\text{CD}}$

AD × CD = BD²

(x)(4x) = (10)²

4x² = 10²

4x² = 100

x² = $\frac{100}{4}$

x = $\sqrt{25}$

x = 5

Therefore, measure of segment AD Or x = 5 units

Option (3) will be the answer.