Triangle Inequality Challenge

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Triangle inequality quiz states

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Karen Yulieth Celis Guevara

Colombia

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Triangle Inequality Challenge


Triangle Inequality ChallengeOnline version Triangle inequality quiz states by Karen Yulieth Celis Guevara 1 Which is the Triangle Inequality Theorem statement for sides a, b, c of a triangle? a a = b + c, b = a + c, c = a + b b a < b + c, b < a + c, c < a + b c a > b + c, b > a + c, c > a + b d a ≤ b + c, b ≤ a + c, c ≤ a + b 2 If a = 3, b = 4, which must be true for a triangle with side c? a c > a + b => c > 7 b c < a + b => c < 7 c c ≤ a + b => c ≤ 7 d c > \|a − b\| => c > 1 3 Are the sides 2, 5, and 8 able to form a triangle? a Yes b No c Only if perimeter is even d Only if all sides are integers 4 If a = 7, b = 10, c = 2, does a triangle exist? a No, because 10 ≥ 7 + 2 b Yes c No, because 7 ≥ 10 + 2 d No, because 2 ≥ 7 + 10 5 Which of the following is a degenerate triangle where the inequality becomes equality? a c > a + b b a = b + c c b > a + c d a > b + c 6 Given sides 6, 8, 15, can these form a triangle? a Yes, if sorted they satisfy a < b + c b Yes c No d Only if 6^2 + 8^2 = 15^2 7 If a = 9, b = 9, c = 17, is a triangle possible? a Only if c is the largest side b No c Yes d Yes, since a + b > c 8 For a triangle, which inequality must hold for the largest side L and other two sides x, y? a L < x + y b L > x + y c L = x + y d L ≤ x + y 9 If a triangle has sides 4, 5, and x, what is the range of x to be valid? a x > 9 or x < 1 b 0 < x < 4 c 1 < x < 9 d 5 < x < 13 10 Which statement is always true about triangle side lengths? a Each side is longer than both other sides b Each side equals the sum of the other two c The largest side is always less than the smallest plus the middle d Each side is shorter than the sum of the other two

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Triangle Inequality Challenge

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About this activity

Created by

Download the paper version to play

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Triangle Inequality ChallengeOnline version

by Karen Yulieth Celis Guevara

Which is the Triangle Inequality Theorem statement for sides a, b, c of a triangle?

If a = 3, b = 4, which must be true for a triangle with side c?

Are the sides 2, 5, and 8 able to form a triangle?

If a = 7, b = 10, c = 2, does a triangle exist?

Which of the following is a degenerate triangle where the inequality becomes equality?

Given sides 6, 8, 15, can these form a triangle?

If a = 9, b = 9, c = 17, is a triangle possible?

For a triangle, which inequality must hold for the largest side L and other two sides x, y?

If a triangle has sides 4, 5, and x, what is the range of x to be valid?

Which statement is always true about triangle side lengths?