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krek1111 [17]
3 years ago
9

Find the value of x.

Mathematics
1 answer:
lawyer [7]3 years ago
4 0

Answer:

\huge\boxed{x=\sqrt{70}}

Step-by-step explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:

\dfrac{AB}{AD}=\dfrac{AC}{AB}

Substitute:

AB=x\\AC=7+3=10\\AD=7

\dfrac{x}{7}=\dfrac{10}{x}       <em>cross multiply</em>

(x)(x)=(7)(10)\\\\x^2=70\to x=\sqrt{70}

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