Question
Can the following triangles exist? [3 MARKS]
(i) AB = 8 cm, BC = 6 cm, AC = 10cm
(ii) MN = 9 cm, NO = 5 cm, OM = 4 cm
(iii) ∠A = 175∘, ∠B = 5∘ and ∠C = 0∘
(i) AB = 8 cm, BC = 6 cm, AC = 10cm
(ii) MN = 9 cm, NO = 5 cm, OM = 4 cm
(iii) ∠A = 175∘, ∠B = 5∘ and ∠C = 0∘
Answer:
:
Each part: 1 Mark each
(i) Since AB + BC > AC, AB + AC > BC and BC + AC > AB, the following triangle can exist.
(ii) The following triangle cannot exist since OM + NO is not greater than MN.
(iii) The following triangle cannot exist since one of the angles of the triangles is 0o. All angles of a triangle should be greater than 0o.
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:
Each part: 1 Mark each
(i) Since AB + BC > AC, AB + AC > BC and BC + AC > AB, the following triangle can exist.
(ii) The following triangle cannot exist since OM + NO is not greater than MN.
(iii) The following triangle cannot exist since one of the angles of the triangles is 0o. All angles of a triangle should be greater than 0o.
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