Mathematics
In the adjoining figure, measure the lengths of the sides of the triangle ABC and verify:
(i) AB + BC > AC
(ii) BC + AC > AB
(iii) AC + AB > BC
Lines & Angles
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Answer
On measuring the sides of triangle ABC with the help of a ruler, we get:
AB = 4.5 cm, BC = 5 cm, AC = 3.5 cm
(i) AB + BC = 4.5 cm + 5 cm = 9.5 cm
Since 9.5 cm > 3.5 cm,
∴ AB + BC > AC is verified.
(ii) BC + AC = 5 cm + 3.5 cm = 8.5 cm
Since 8.5 cm > 4.5 cm,
∴ BC + AC > AB is verified.
(iii) AC + AB = 3.5 cm + 4.5 cm = 8 cm
Since 8 cm > 5 cm,
∴ AC + AB > BC is verified.
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