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.
\(ABCD\text{ parallelogram},\ |AB|=4,\ |DE|=4,\ |EA|=2,\ |FC|=2,\ m(B)=120^\circ\)
\(\Rightarrow |EF|=x=?\)
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) \(\sqrt{173}\)