The value of 'x' is 1.2 if CBA is similar triangle EDA.
What is similar triangle?
Triangles are said to be similar triangle" if they are proportional equality corresponding sides and equal pair of corresponding angles".
According to the question,
∠C =∠E, ∠B=∠D and ∠A=∠A this implies given triangle is inscribed similar right angle triangle.
ΔCBA ≅ ΔEDA [Similar triangle]
Properties of similar triangle: [tex]\frac{CB}{ED} = \frac{BA}{DA}[/tex]
[tex]\frac{6}{7}=\frac{7}{7+x}[/tex]
[tex]6(7+x)=49[/tex]
[tex]42+6x=49[/tex]
[tex]6x=49-42[/tex]
[tex]x= \frac{7}{6}[/tex] [tex]= 1.16666667[/tex] ≈ 1.2
Hence, the value of 'x' is 1.2 if CBA is similar triangle to EDA.
Learn more about similar triangle here
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