Find out the answer to "Write and equation then solve for x." - Plainmath

Wierzycaz

Answered question

2021-01-25

Write and equation then solve for x.

Answer & Explanation

Jayden-James Duffy Skilled2021-01-26Added 91 answers

Step 1 We will use similarity of the given two triangles to find the value of x. Step 2

∠ B A E \tilde{=} ∠ C A D

(same angle)

∠ B E A \tilde{=} ∠ C D A

(

90^{\circ}

both)
Hence

△ A E B \sim △ A D C

Hence

\frac{B E}{C D} = \frac{A B}{A C}

\Rightarrow \frac{x}{15} = \frac{12}{12 + 6}

\Rightarrow \frac{x}{15} = \frac{12}{18}

\Rightarrow x = \frac{12 \times 15}{18}

= 10

Hence

x = 10 c m

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