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4 votes
Answers are
A:4 square root 5
B:16
C:6
D:8 square root 5

Answers are A:4 square root 5 B:16 C:6 D:8 square root 5-example-1
User Frin
by
6.3k points

1 Answer

2 votes

Answer:


\large\boxed{A:\ 4\sqrt5}

Explanation:

Look at the picture.

ΔABC and ΔADB are similar. The corresponding angles are in proportion:


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

We have:


AB=x,\ AC=5+11=16,\ AD=5

Substitute:


(x)/(16)=(5)/(x) cross multiply


x^2=(16)(5)\to x=√((16)(5)) use √ab = √a · √b


x=√(16)\cdot\sqrt5\\\\x=4\sqrt5

Answers are A:4 square root 5 B:16 C:6 D:8 square root 5-example-1
User Tim Kokesh
by
7.2k points