Answer:
31
Step-by-step explanation:
Assuming the drawing is to scale
- The triangle is equilateral according to measure, So the measure of angles A, B and C are the same and the lengths of sides AB, BC and BA are equal
- There is very little information to go off, so the measurements are done with a ruler etc.
- With that in mind, this means AC=BC, ergo [tex]6x-5=4x+7[/tex]
- So, [tex]6x-4x=7+5[/tex] then [tex]x=6[/tex]
- Plugging that back into BC, we have [tex]4(6)+7=24+7=31[/tex]
