Answer:
BC=4.8
DE=1.1
DF=1.6
Step-by-step explanation:
Since sides of similar triangles are proportional, I used this to calculate DE
[tex] \frac{3.3}{de} = \frac{6}{2} [/tex]
Cross-multiply
[tex]3.3 \times 2 = 6 \times de[/tex]
[tex] \frac{6.6 = 6de}{6} [/tex]
[tex]1.1 = de[/tex]
To solve for BC and DF
[tex] \frac{6}{2} = \frac{bc}{bc - 2} [/tex]
BC-3.2=DE
Cross multiply
[tex]6bc - 19.2 = 2bc[/tex]
[tex]6bc - 2bc = 19.2[/tex]
as -19.2 is transferred to the opposite side od the equation, its value becomes opposite aswell (negative to positive)
[tex] \frac{4bc = 19.2}{4} [/tex]
Simplify and divide both by 4
[tex]bc = 4.8[/tex]
Since BC-3.2=DE, substitute BC with 4.8
[tex]4.8 - 3.2 = de[/tex]
[tex]de = 1.6[/tex]
