If the perimeter of triangle ABC is 14 cm such that AB = AC and BC = 6 cm, then find the length of AB. (2 marks)

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Solution

In $Δ A B C$ ,
AB = AC ... (i)
Perimeter of triangle ABC = 14 cm
BC = 6 cm (0.5 marks)

$∴$ AB + AC + BC = 14 cm
AB + AB + 6 cm = 14 cm [From (i)]
2AB = 8 cm
AB = 4 cm (1.5 marks)

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Similar questions

In a $Δ A B C$ , AD is the bisector of $∠ A$ .

(i) If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm, find DC.

(ii) If AB = 10 cm, AC = 14 cm and BC = 6 cm, find BD and DC.

(iii) If AB = 5.6 cm, BD = 3.2 cm and BC = 6 cm, find AC.

(iv) If AB = 5.6 cm, AC = 4 cm and DC = 3 cm, find BC.

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Δ A B C

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