Geometry Practice Question and Answer
8 Q: In ΔABC, ∠C=90° and D is a point on CB such that AD is the bisector of ∠A. If AC=5 cm and BC=12 cm, then what is the length of AD?
1078 06053230ba01bc44789ae7037
6053230ba01bc44789ae7037- 1$$ {10\over 3}{cm}$$false
- 2$$ {5\sqrt{13}\over 6}{ \ cm}$$false
- 3$$ {5\sqrt{13}\over 3}{ \ cm}$$true
- 4$$ {20\over 3} {\ cm}$$false
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Answer : 3. "$$ {5\sqrt{13}\over 3}{ \ cm}$$"
Q: ABCD is a rhombus whose one angle is 60°.Find the ratio of the lengths of its diagonal?
1077 06022716e3fb46f5722f8398d
6022716e3fb46f5722f8398d- 1$$ {\sqrt{3}:1}$$false
- 21 : 1true
- 3$$ {\sqrt{2}:1}$$false
- 4None of thesefalse
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Answer : 2. "1 : 1"
Q: If in a triangle, the orthocenter lies on vertex, then the triangle is
1077 05efe8b0cd4461c5b47dc9e27
5efe8b0cd4461c5b47dc9e27- 1Right angledtrue
- 2Equilateralfalse
- 3Acute angledfalse
- 4Isoscelesfalse
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Answer : 1. "Right angled "
Q: If the ratio of the measurement of the four angles of a quadrilateral is 1: 2: 3: 4, then the measurement of its smallest angle is-
1076 05f758edef66ef56de84d7dad
5f758edef66ef56de84d7dad- 1120°false
- 236°true
- 3100°false
- 418°false
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Answer : 2. "36°"
Q: ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other O. If AO=a cm, DO=b cm and the area of ΔABC= x cm2, then what is the area (in cm2) of ΔDBC?
1070 05f40dd439b782961da3f49dd
5f40dd439b782961da3f49dd- 1$${ab\over 2}{x}$$false
- 2$${a\over b}{x}$$false
- 3$${b\over a}{x}$$true
- 4$${a+b\over2}{x}$$false
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Answer : 3. "$${b\over a}{x}$$"
Q: ∆ABC is a right angle triangle BD⊥AC. If AD = 12 cm and DC = 8, then BD = ?
1068 0605866149982dc053f987943
605866149982dc053f987943- 1$$ {5\sqrt {6}}$$false
- 2$$ {4\sqrt {6}}$$true
- 38false
- 44false
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Answer : 2. "$$ {4\sqrt {6}}$$"
Q: If the area of a circle, inscribed in a equilateral triangle is 4 π cm2, then what is the area of the triangle?
1068 0605c56e8c5cd4764959facc1
605c56e8c5cd4764959facc1- 1$$ {12\sqrt{3}\ cm^{2}}$$true
- 2$$ {9\sqrt{3}\ cm^{2}}$$false
- 3$$ {8\sqrt{3}\ cm^{2}}$$false
- 4$$ {18\ cm^{2}}$$false
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Answer : 1. "$$ {12\sqrt{3}\ cm^{2}}$$ "
Q: A circle is inscribed in a equilateral triangle of side 24 cm. What is the area ( in cm2) of a square inscribed in the circle?
1065 06051c381a37d522d6c151186
6051c381a37d522d6c151186- 148false
- 296true
- 354false
- 472false
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