Problem:

 

Right triangle ABC is similar to right triangle DEF. If AB = 10, BC = 8, and DE = 5, find the measure of side EF and the measure of angle EFD.

 

 

 

 

 

Answer:
                       
, and angle EFD is a 90 degree angle.

 

                          

 

 

Some students might use cross products to solve:

 

                           10 = 40

                             x = 4

                           FE = 4

 

Some students might use equivalent fractions to solve:

 

                   
 

                           FE = 4