Geometry problem: find the values of AD , AB , AE and AC

[Juancito]

Can anybody help me ? In the following figure I have to find the values of AD , AB , AE and AC
Thank you.

 

[Deleted member 4993]

Can anybody help me ? In the following figure I have to find the values of AD , AB , AE and AC
Thank you.

ADE and ABC are similar triangles. Where does that lead you?

What are your thoughts?

Please share your work with us ...even if you know it is wrong

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[Mrspi]

Can anybody help me ? In the following figure I have to find the values of AD , AB , AE and AC
Thank you.

Does your text include something like this? (It was called the "SideSplitter Theorem" in the geometry book I taught out of years ago):

If a line parallel to one side of a triangle intersects the other two sides, it divides those sides in segments which are proportional.

So, in your diagram, since line DE is parallel to line BC,

AD / DB = AE / EC


You're given expressions for the lengths of each of those segments. Can you solve for x? Once you have the value of x you should be able to find the lengths you're asked for.

 

[felix_air18]

Since DE and BC are parallel and both the triangles ADE and ABC have a common included angle A, therefore they are similar triangles. Now follow my work.

Sent from my 2014818 using Tapatalk

 

[math_parent]

There is an error....AC=24 not 20

n=8

so 8+16=24, therefore AC=24