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

Answer:

$MG=56\ units$

Step-by-step explanation:

we know that

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

we have

∆EGF~∆EML

so

$\frac{EG}{EM}=\frac{EF}{EL}$

substitute the given values

$\frac{5x+2}{16}=\frac{126}{28}$

solve for x

$5x+2=\frac{126}{28}(16)$

$5x=\frac{126}{28}(16)-2\\\\5x=70\\\\x=14$

$EF=5x+2$

substitute the value of x

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

Find the length of MG

$MG=EF-EM$

$MG=72-16=56\ units$