In Δ ABC, the length of BC is less than twice the length of AB by 2 cm. The lenghth of length of AC exceeds the length of AB by 6 cm. The perimeter is 60 cm. The length (in cm) of the largest side of the triangle ABC is
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Correct answer: D
Explanation
The correct answer is Option 4 i.e. 26
Given:
Perimeter = 60 cm
BC = 2AB - 2
AC = AB + 6
Formula Used:
Perimeter = AB + BC + AC
Explanation:
According to the given question,
Perimeter = AB + (2AB - 2) + (AB + 6)
⇒ 60 = 4AB + 4
⇒ 4AB = 56
⇒ AB = 14
Now, BC = 2(14) - 2 = 26 cm
AC = 14 + 6 = 20cm
Hence the required answer is 26 cm.