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| e AD, BE and CF are the medians of ΔABC whose sides AB, BC and CA are 6 cm, 8 cm and 12 cm respectively. The lengths of DE, EF and FD are e |
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e If D, E and F are respectively the mid points of the sides BC, CA and AB of ΔABC, then the orthocenter of ΔDEF is the
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| e If the altitudes of a triangle are in the ratio 2 : 3 : 4, then the sides are in the ratio e |
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e If the angles of a triangle are in the ratio 1 : 1 : 2, then the altitudes are in the ratio
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| e In what type of triangle at least one median coincides with an altitude? e |
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| e What is the point of concurrency of the medians of a triangle called? e |
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| e Name the point of concurrency of the altitudes of a triangle. e |
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e In ΔABC, AD is the median and the area of the ΔABC is 36 cm2. Find the area of ΔADC.
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| e In ΔABC, AD is the median and G is the Centroid. AG : AD = ? e |
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| e In a right angled triangle, the median drawn onto the hypotenuse is e |
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| e In a right angled triangle, the orthocenter lies e |
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e Select the correct statement/statements.
1. In an equilateral triangle, orthocenter coincides with incenter.
2. In an equilateral triangle, median and angle bisector from a vertex are the same.
3. In an equilateral triangle, centroid coincides with circumcenter. e |
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e In right angled triangle ABC, find the length of altitude AD.
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| e What is the ratio of the altitude to the side in an equilateral triangle? e |
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e AD is the median. What can you tell about ∠DAC?
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| e If AD = 4 cm, CF = 3 cm, then what is the length of AC? e |
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| e ΔPQR similar to ΔMNS. If the medians PT and MK are in the ratio 2 : 5, then find the ratio of areas of ΔPQR to ΔMNS e |
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| e If AD, BE, CF are the altitudes of ΔABC, whose orthocenter is H, then C is the orthocenter of which triangle? e |
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e A, B and C are the mid points of the three sides of ΔPQR as shown in the figure. QB and CR intersect at G. If QD = 5 cm, find the length of GD.
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| e An equilateral triangle is circumscribed in a circle of diameter 16 units. What is the area of the triangle in sq.units? e |
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