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501. In figure, AB > AC, BO and CO are the bisectors of ∠B and ∠C respectively. Show that OB > OC.

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502.

In the given figure, ∠ABD = 130° and ∠EAC = 120°. Prove that AB > AC.

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503. If AD is the bisector of ∠A of ∆ ABC, show that AB > DB.

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504. 0 is a point in the interior of ∆PQR.

OP + OQ + OR >

1 half

(PQ + QR + RP).

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505. In figure, D is any point on the base BC produced of an isosceles triangle ∆ABC. Prove that AD > AB.

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506. In figure, S is any point in its interior of ∆PQR. Show that SQ + SR < PQ + PR.

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507. Prove that the difference of any two sides of a triangle is less than the third side.

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508. In the following figure, ∠B > ∠A and ∠D > ∠E. Then, the relation between AE and BD is

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509. In ∆ABC, AB > AC and D is any point on side BC. Then, the relation between AB and AD is

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510. In the following figure, in ∆ABC, AB = AC; CD = CA and ∠ADC = 20°. Then, ∠ABC =

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