Test 19
1.
\(|AB|=5,\)\(\ |BC|=4,\)\(\ |AC|=\sqrt{21}\)
\(\Rightarrow m(B)=?\)
A) \(15^\circ\)B) \(30^\circ\)C) \(60^\circ\)D) \(90^\circ\)E) \(120^\circ\)
2.
\(|AB|=5,\)\(\ |BC|=7,\)\(\ |AC|=4\sqrt2\)
\(\Rightarrow m(C)=?\)
A) \(15^\circ\)B) \(30^\circ\)C) \(45^\circ\)D) \(60^\circ\)E) \(90^\circ\)
3.
\(|AB|=4,\)\(\ |AC|=8,\)\(\ m(A)=120^\circ\)
\(\Rightarrow |BC|=?\)
A) \(2\sqrt{23}\)B) \(\sqrt{29}\)C) \(3\sqrt{17}\)D) \(12\)E) \(4\sqrt7\)
4.
\(|AB|=8,\)\(\ |BC|=5,\)\(\ m(B)=60^\circ,\)\(\ |AC|=x\)
\(\Rightarrow x=?\)
A) \(2\sqrt3\)B) \(5\)C) \(7\)D) \(\sqrt{57}\)E) \(9\)
5.
\(ABCD\) parallelogram\(,\)\(\ |AB|=4,\)\(\ |DE|=4,\)\(\ |EA|=2,\)\(\ |FC|=2,\)\(\ m(B)=120^\circ\)
\(\Rightarrow |EF|=x=?\)
A) \(2\sqrt7\)B) \(\sqrt{35}\)C) \(6\)D) \(2\sqrt{10}\)E) \(7\)
6.
\(AB\perp BC,\)\(\ |AD|=16,\)\(\ |DC|=2,\)\(\ |BC|=6,\)\(\ |BD|=x\)
\(\Rightarrow x=?\)
A) \(\sqrt5\)B) \(4\)C) \(3\sqrt2\)D) \(2\sqrt5\)E) \(4\sqrt2\)
7.
\(AE\cap BD=\{C\},\)\(\ |AB|=6,\)\(\ |BC|=8,\)\(\ |AC|=10,\)\(\ |CD|=6,\)\(\ |CE|=5\)
\(\Rightarrow |DE|=x=?\)
A) \(\sqrt{13}\)B) \(4\)C) \(\sqrt{17}\)D) \(2\sqrt5\)E) \(5\)
8.
\(|AD|=3,\ |DB|=2,\ |DE|=\sqrt{35},\ |AE|=5,\ |EC|=7\)
\(\Rightarrow |BC|=?\)
A) \(6\)B) \(\sqrt{30}\)C) \(3\sqrt3\)D) \(\sqrt{157}\)E) \(\sqrt{173}\)