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maria [59]
4 years ago
12

Find the value of x.

Mathematics
1 answer:
Nuetrik [128]4 years ago
3 0

Answer:

\huge\boxed{y=\sqrt{55}}

Step-by-step explanation:

ΔADC and ΔDBC are similar (AAA)

Therefore the cooresponging sides are in proportion:

\dfrac{AC}{CD}=\dfrac{CD}{BC}

Substitute:

AC=6+5=11\\BC=5\\CD=y

\dfrac{11}{y}=\dfrac{y}{5}              <em>cross multiply</em>

(11)(5)=(y)(y)\\\\55=y^2\to y=\sqrt{55}

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