In triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of the AC exceeds the length of AB by 1 cm. The perimeter of the triangle is 34 cm. The length (in cm) of the smaller side of the triangle is:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 9
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Concept |
Understanding |
Application |
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Perimeter of a triangle = Sum of all 3 sides |
Given AC = AB + 1 BC = 2AB – 3 Perimeter of triangle = 34 cm |
AB + BC + AC = 34 cm ⇒ AB + 2AB – 3 + AB + 1 = 34 ⇒ AB = 36/4 = 9 cm ⇒ AC = 9 + 1 = 10 cm ⇒ BC = 2 × 9 – 3 = 15 cm Smallest side of triangle = AB = 9 cm |