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Given that ABC ~ DEC. find the value of x. Write the equation and show your work.

Given That ABC DEC Find The Value Of X Write The Equation And Show Your Work class=

Sagot :

From the problem, given triangle ABC is similar to triangle DEC, we can have the proportion of :

[tex]\frac{AB}{AC}=\frac{DE}{DC}[/tex]

AB = 30, AC = 2x - 1

DE = 18, DC = x + 1

This will be :

[tex]\begin{gathered} \frac{30}{2x-1}=\frac{18}{x+1} \\ \text{Cross multiply :} \\ 30(x+1)=18(2x-1) \\ 30x+30=36x-18 \\ 30x-36x=-18-30 \\ -6x=-48 \\ x=\frac{-48}{-6}=8 \end{gathered}[/tex]

The answer is x = 8

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