In triangle ABC- D is a point on BC- If AB gt- BD and AC gt- DC then- AB - AC- lt- BC- BC- gt-BC- gt- 2BC-

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Triangle Inequality 2

In triangle A...

Question

In triangle ABC, D is a point on BC. If AB > BD and AC > DC then, AB + AC _____________________

< BC

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>BC

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= BC

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> 2BC

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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.

A B C, D

B C

A B + B C + A C > 2 A D

A B C, A B = A C

D

A C

B C^{2} = A C \times C D

B D = B C

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