If the perimeter of triangle ABC is 14 cm such that AB = AC and BC = 6 cm, then find the length of AB.

3 cm

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4 cm

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5 cm

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6 cm

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Solution

The correct option is B 4 cm
In $Δ A B C$ ,
AB = AC ... (i)
Perimeter of triangle ABC = 14 cm
BC = 6 cm

$∴$ AB + AC + BC = 14 cm
AB + AB + 6 cm = 14 cm [From (i)]
2AB = 8 cm
AB = 4 cm

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If the perimeter of triangle ABC is 14 cm such that AB = AC and BC = 6 cm, then find the length of AB.

The correct option is B 4 cmIn ΔABC, AB = AC ... (i) Perimeter of triangle ABC = 14 cm BC = 6 cm ∴ AB + AC + BC = 14 cm AB + AB + 6 cm = 14 cm [From (i)] 2AB = 8 cm AB = 4 cm

The correct option is B 4 cm
In $Δ A B C$ ,
AB = AC ... (i)
Perimeter of triangle ABC = 14 cm
BC = 6 cm

$∴$ AB + AC + BC = 14 cm
AB + AB + 6 cm = 14 cm [From (i)]
2AB = 8 cm
AB = 4 cm