Question

Given triangle DEF similar to triangle GHF. Enter segments in the blanks provided that would result in a true equation.

Answer 1

Given:

The triangles DEF is similar to GHF.

The objective is to find a similar ratio of DF/DE.

Explanation:

Using the basic proportionality theorem, for the similar triangles DEF and GHF,

$\frac{DE}{GH}=\frac{DF}{GF}=\frac{EF}{HF}\text{ . . . . .. .(1)}$

Considering the first two ratios of equation (1),

$\frac{DE}{GH}=\frac{DF}{GF}$

On interchanging the segments further,

$\frac{DF}{DE}=\frac{GF}{GH}$

Hence, the required segment in the blanks is GF/GH.