Question

Find the length x.12210107131.jpg

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asked 2020-10-18

Find the length x. 

 

Answers (1)

2020-10-19

Step 1
Solving by similarity of triangle
Step 2
image
\(\displaystyle{9}{n}\triangle{A}{B}{C}{\quad\text{and}\quad}\triangle{C}{D}{E}\),
\(m<ABC=m<CDE\) (Given)
\(\displaystyle{\quad\text{and}\quad}{m}<{A}{C}{B}={m}<{D}{C}{E}\)
So \(\displaystyle\triangle{A}{B}{C}\) is similar to \(\displaystyle\triangle{C}{D}{E}\).
\(\displaystyle\Rightarrow\frac{{{A}{B}}}{{{D}{E}}}=\frac{{{C}{B}}}{{{C}{D}}}\)
\(\displaystyle\Rightarrow\frac{5}{{{7}\cdot{5}}}=\frac{x}{{3}}\)
\(\displaystyle\Rightarrow{x}=\frac{15}{{{7}\cdot{5}}}={2}\)
x=2

 

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