Answered

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

Find AB D A 5x B 4x 3 C AB class=

Sagot :

noproblemNP

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 :)

boffeemadrid

The length of [tex]AB[/tex] is required.

The length of [tex]AB=15[/tex]

Triangles

[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

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