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Find the value of x.

Find the value of x.
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Find the value of x.

Find the value of x.-example-1
User DarkVision
by
7.7k points

1 Answer

3 votes

Answer:


\huge\boxed{x=√(70)}

Explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:


(AB)/(AD)=(AC)/(AB)

Substitute:


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


(x)/(7)=(10)/(x) cross multiply


(x)(x)=(7)(10)\\\\x^2=70\to x=√(70)

User Bojan Bjelic
by
8.1k points
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