Question

Find the length of MG. ∆EGF~∆EML.

I dont understand what im doing wrong i keep getting a different answer You dont have to put the answer just help me understand this problem

Answer 1

`MG=56\ units`

Explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

we have

∆EGF~∆EML

so

`(EG)/(EM)=(EF)/(EL)`

substitute the given values

`(5x+2)/(16)=(126)/(28)`

solve for x

`5x+2=(126)/(28)(16)`

`5x=(126)/(28)(16)-2\\\\5x=70\\\\x=14`

`EF=5x+2`

substitute the value of x

`EF=5(14)+2=72\ units`

Find the length of MG

`MG=EF-EM`

`MG=72-16=56\ units`