Find AB
D
A
5x B 4x + 3 C
AB

Answer:
15 units
Step-by-step explanation:
ΔADC is an isosceles triangle because it has 2 equal sides
AB = BC (DB is median so cuts AC into 2 equal parts)
AB = 5x, BC = 4x + 3
5x = 4x + 3
5x - 4x = 4x - 4x + 3 (subtracting 4 from both sides)
x = 3
AB = 5x
= 5(3)
= 15 units
Happy to help :)
The length of [tex]AB[/tex] is required.
The length of [tex]AB=15[/tex]
[tex]AB=5x[/tex]
[tex]BC=4x+3[/tex]
The given triangle is an isosceles triangle with a line perpendicular to [tex]AC[/tex] passing through [tex]D[/tex].
This means that [tex]AB=BC[/tex]
[tex]5x=4x+3\\\Rightarrow 5x-4x=3\\\Rightarrow x=3[/tex]
[tex]AB=5x=5\times3\\\Rightarrow AB=15\ \text{units}[/tex]
Learn more about triangles:
https://brainly.com/question/1675117