iCoachMath.com: Examples on Medians and Altitudes of a Triangle - Properties of Triangles - (AL)
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Solved Examples

Curriculum: Alabama Course of Study   Click to change Curriculum

Topic: Properties of Triangles  Click to change Topic

Lesson: 5: Medians and Altitudes of a Triangle  Click to change Lesson

Click on a 'View Solution' below for other questions:
fff Area of ΔABFArea of quadrilateral FDCE = ? fff View Solution
fff 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 fff View Solution
fff 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
 fff
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fff OC is the median, find ODDB
 fff
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fff If the altitudes of a triangle are in the ratio 2 : 3 : 4, then the sides are in the ratio fff View Solution
fff If the angles of a triangle are in the ratio 1 : 1 : 2, then the altitudes are in the ratio
 fff
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fff In what type of triangle at least one median coincides with an altitude? fff View Solution
fff What is the point of concurrency of the medians of a triangle called? fff View Solution
fff Name the point of concurrency of the altitudes of a triangle. fff View Solution
fff In ΔABC, AD is the median and the area of the ΔABC is 36 cm2. Find the area of ΔADC.
 fff
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fff In ΔABC, what is the length of the median AD?
 fff
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fff In ΔABC, AD is the median and G is the Centroid. AG : AD = ? fff View Solution
fff 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.
 fff
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fff In a right angled triangle, the median drawn onto the hypotenuse is fff View Solution
fff In a right angled triangle, the orthocenter lies fff View Solution
fff 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. fff
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fff Find the length of the altitude BE.
 fff
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fff In right angled triangle ABC, find the length of altitude AD.
 fff
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fff What is the ratio of the altitude to the side in an equilateral triangle? fff View Solution
fff AD is the median. What can you tell about DAC?
 fff
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fff DAC = 40o, find FBC. fff View Solution
fff If AD = 4 cm, CF = 3 cm, then what is the length of AC? fff View Solution
fff Find BC2 + CD2. fff View Solution
fff 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 fff View Solution
fff If AD, BE, CF are the altitudes of ΔABC, whose orthocenter is H, then C is the orthocenter of which triangle? fff View Solution
fff An equilateral triangle is circumscribed in a circle of diameter 16 units. What is the area of the triangle in sq.units? fff View Solution
fff Find (AN2 + CM2). fff View Solution
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