Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is 140, what is the length of the
Mathematics
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Question
Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is 140, what is the length of the longest side of QRS?
2 Answer

1. User Answers Preetham123
The longest side in the triangle is 180, as you multiply 18 by 10.
Hope I helped! 
2. User Answers calculista
Answer:
[tex]180\ units[/tex]
Stepbystep explanation:
we know that
If triangles EFG and QRS are similar
then
the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG
so
Let
x> the smallest side of triangle QRS
y> the smallest side of triangle EFG
z> the scale factor
we have
[tex]x=140\ units, y=56\ units[/tex]
substitute the values
[tex]z=\frac{140}{56}[/tex]
[tex]z=2.5[/tex]
Find the length of the longest side of QRS
The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG
so
[tex]2.5*72=180\ units[/tex]