Using the informations given in the adjoining figure, write the sides of △BOC in ascending order of length.

Since BAD is a straight line, ⇒ ∠BAC + ∠CAD = 180° ⇒ ∠BAC + 135° = 180° ⇒ ∠BAC = 180° - 135° = 45° From the figure, ∠BCO = ∠OCA = x (assume) Since BCE is a straight line, ⇒ ∠BCO + ∠OCA + ∠ACE = 180° ⇒ x + x + 95° = 180° ⇒ 2x + 95° = 180° ⇒ 2x = 180° - 95° = 85° ⇒ x = = 42.5° ∠BCA = 2x = 85° From the figure, ∠ABO = ∠OBC = y (assume) ∠CBA = 2y In Δ ABC, sum of all angles of the triangle is 180°. ⇒ ∠A + ∠B + ∠C = 180° ⇒ 45° + 2y + 85° = 180° ⇒ 130° + 2y = 180° ⇒ 2y = 180° - 130° ⇒ 2y = 50° ⇒ y = ⇒ y = 25° In Δ BOC, sum of all angles of the triangle is 180°. ⇒ ∠OBC + ∠OCB + ∠BOC = 180° ⇒ 25° + 42.5° + ∠BOC = 180° ⇒ 67.5° + ∠BOC = 180° ⇒ ∠BOC = 180° - 67.5° ⇒ ∠BOC = 112.5° Now, in triangle OBC, ∠BOC > ∠OCB > ∠OBC Side opposite to greater angle is greater. Hence, OC OB BC.

In a triangle ABC, ∠A = x°, ∠B = (3x - 2)° and ∠C = y°. Also, ∠C - ∠B = 9°. Find all the three angles of the △ABC.

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In the given figure, PR > PQ
Prove that : AR > AQ.

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Two sides of a triangle are 12 cm and 7 cm; find the range for the length of its third side.

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In the given figure, AB > AC and D is any point on BC.
Prove that : AB > AD.

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Mathematics

Using the informations given in the adjoining figure, write the sides of △BOC in ascending order of length.

Triangles

Related Questions

In a triangle ABC, ∠A = x°, ∠B = (3x - 2)° and ∠C = y°. Also, ∠C - ∠B = 9°. Find all the three angles of the △ABC.

In the given figure, PR > PQ
Prove that : AR > AQ.

Two sides of a triangle are 12 cm and 7 cm; find the range for the length of its third side.

In the given figure, AB > AC and D is any point on BC.
Prove that : AB > AD.

Mathematics

Using the informations given in the adjoining figure, write the sides of △BOC in ascending order of length.

Triangles

Related Questions

In a triangle ABC, ∠A = x°, ∠B = (3x - 2)° and ∠C = y°. Also, ∠C - ∠B = 9°. Find all the three angles of the △ABC.

In the given figure, PR > PQProve that : AR > AQ.

Two sides of a triangle are 12 cm and 7 cm; find the range for the length of its third side.

In the given figure, AB > AC and D is any point on BC.Prove that : AB > AD.

In the given figure, PR > PQ
Prove that : AR > AQ.

In the given figure, AB > AC and D is any point on BC.
Prove that : AB > AD.