Answer:
Option (3)
Step-by-step explanation:
By applying mean proportional theorem in the given triangle ABC,
[tex]\frac{\text{AD}}{\text{BD}}=\frac{\text{BD}}{\text{CD}}[/tex]
AD × CD = BD²
(x)(4x) = (10)²
4x² = 10²
4x² = 100
x² = [tex]\frac{100}{4}[/tex]
x = [tex]\sqrt{25}[/tex]
x = 5
Therefore, measure of segment AD Or x = 5 units
Option (3) will be the answer.
