iCoachMath.com: Examples on Triangle Inequalities - Triangle Relationships - (AK)
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Solved Examples

Curriculum: Alaska Math Grade Level Expectations   Click to change Curriculum

Topic: Triangle Relationships  Click to change Topic

Lesson: [9] G-1, [10] G-1: Triangle Inequalities  Click to change Lesson

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ccc Which segment is longer, CE¯ or DB¯ with O being the center of the circle? [Take x = 53 and y = 55.]
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ccc ABCD is a rhombus. DCB = xo. If x = 75, which is greater, DB or CA? ccc View Solution
ccc What can be said about the congruency of ΔABC and ΔDEF , if AB = DE and AC = DF? ccc View Solution
ccc Two corresponding sides of two triangles are congruent. The triangle, which has a larger included angle of these sides, will have ___. ccc View Solution
ccc Which is the shortest among the following? ccc View Solution
ccc Let S be any point in the interior of ΔPQR. Which is greater: (SQ + SR) or (PQ + PR)? ccc View Solution
ccc In the triangles ABC and DEF, AB = DE, AC = DF, mD > mA. Which is greater, BC¯ or EF¯?
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ccc Which segment is longer, CE¯ or DB¯ with O being the center of the circle? [Take x = 50 and y = 58.]
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ccc What is the relationship between θ and α?
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ccc ABCD is a rhombus. DCB = xo. If x = 74, which is greater, DB or CA? ccc View Solution
ccc AB > AC and D is any point on side BC. What is the relationship between AB¯ and AD¯?
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ccc Q is a point on side SR of ΔPSR, such that PQ = PR. Find the relationship between PS¯ and PQ¯. ccc View Solution
ccc PR > PQ and PS¯ is the bisector of QPR. What is the relation between PSQ and PSR? ccc View Solution
ccc AD¯ is the bisector of A of ΔABC, where D lies on BC. What is the relation between BD¯ and AB¯?
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ccc AB and CD are the smallest and the largest sides of a quadrilateral ABCD respectively. The relation between A and C is ______.
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ccc AC > AB and D is a point on AC¯ such that AB = AD. What is the relation between CD¯ and BC¯?
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ccc T is a point on side QR¯ of ΔPQR and S is a point such that RT = ST. Which of the following is true? ccc View Solution
ccc In the figure, E > A and C > D. What is the relation between AD and EC?
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ccc Diagonals PR¯ and QS¯ of a quadrilateral PQRS intersect each other at O. What can you say about the ratio PQ + QR + RS + SP PR + QS ? ccc View Solution
ccc If PR > PQ, then which of the following is true? ccc View Solution
ccc S is any point on the side QR¯ of ΔPQR. Find PQ + QR + RP PS. ccc View Solution
ccc In ΔABC, if AB = BC, then, which of the following is true?
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ccc In ΔABC, BE¯ and CF¯ are the altitudes and they intersect inside the triangle at O. If AC > AB, then what is the relation between OC¯ and OB¯? ccc View Solution
ccc In ΔABC, AB = AC. Straight line L cuts AB¯ and AC¯ at P, Q and BC¯ produced at R. What is the relation between AP¯ and AQ¯?
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ccc Let P cm and R cm denote perimeter and the sum of the length of the diagonals of a quadrilateral respectively. Then,
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ccc In ΔPQR, the bisectors of the angles Q and R meet at M. If PQ > PR, then find the relation between MQ¯ and MR¯.
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ccc In ΔPQR, the sides PQ¯ and PR¯ are produced to X and Y respectively. The bisectors of RQX and QRY meet at N. If PQ > PR, then what is the relation between NQ¯ and NR¯?
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