Question

Triangle EFG ~ BCD. If FG = 18, CD = 4, EF is 3 more than BD, and BC is half BD. What is EG?

Answer 1

From the information provided about Triangle EFG, EF is 8.795. This is arrived at using the Theorem of Similar Triangles.

What does the Theorem of Similar Triangles state?

The theorem states that if two triangles are similar, the ratio of their areas is proportional to the square of their corresponding side ratios.

Hence,

since BC/EF = CD/GF

Then 25/EF = 54/19

Hencem EF = (25 x 19)/ 54

= 475/54

EF = 8.796.

Hence, From the information provided about Triangle EFG, EF is 8.795.

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