Hbadgerdontcare
segment DF bisects angle EDG . Find FG. The diagram is not to scale.
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LogicalApple
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Hbadgerdontcare
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thats fg?
LogicalApple
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No, I just demonstrated how to solve for n. Once you do that, then you can solve for FG.
Hbadgerdontcare
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i need help
BrittanyFrench
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Bisect mean scut in hald, so you will always set equations equal when it says that then solve for n.
LogicalApple
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In the picture, we have two triangles. Since EDG was bisected, that means angle EDF and angle FDG are equal. We also see that the triangles contain 90 degree angles as well. Since two of three angles are the same, this means the third angle must also be the same. Because the triangles contain the same angle measurements, they are similar. Because they both share the same side, and all three angles, then the two triangles must be congruent.
This means that EF = FG
or, equivalently
n + 9 = 4n - 6
Solve this equation for n, then plug that value into FG
BrittanyFrench
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Exactly what he said!
Hbadgerdontcare
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wanna solve it for me?
BrittanyFrench
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just set it up it's not that difficult. I can walk you thru, but will not solve
Hbadgerdontcare
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n=5
BrittanyFrench
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Then put 5 in for 9 on 4n-6 and you'll get your length
BrittanyFrench
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meant put it in for n sorry
Hbadgerdontcare
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14
BrittanyFrench
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yupp that's what I got.
BrittanyFrench
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good job!
Hbadgerdontcare
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thanks
BrittanyFrench
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welcome do you understnad better now?