Answer:
Step-by-step explanation:
By similar triangles law:-
[tex]\frac{24}{2x} =\frac{30}{x+6}[/tex]
[tex]24(x+6)=30(2x)[/tex]
[tex]24x+24(6)=60x[/tex]
[tex]24x+144=60x[/tex]
[tex]\frac{36x}{36x} =\frac{144}{36}[/tex]
[tex]x=4[/tex]
Since AB=x+6+2x
[tex]AB=3x+6[/tex]
Substitute value of x
[tex]AB=3(4)+6[/tex]
[tex]AB=12+6[/tex]
[tex]AB=18[/tex]
Therefore, the third side of ΔABC is 18.
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Hope this helps!
