Arrange the sides of △ BOC in descending order of their lengths. BO and CO are bisectors of angles ABC and ACB respectively.

From figure, DAC is a straight line. ∴ ∠DAB + ∠BAC = 180° ⇒ 137° + ∠BAC = 180° ⇒ ∠BAC = 180° - 137° = 43°. EBC is a straight line. ∴ ∠EBA + ∠ABC = 180° ⇒ 106° + ∠ABC = 180° ⇒ ∠ABC = 180° - 106° = 74°. In △ ABC, By angle sum property of triangle, ⇒ ∠ABC + ∠BAC + ∠ACB = 180° ⇒ 74° + 43° + ∠ACB = 180° ⇒ 117° + ∠ACB = 180° ⇒ ∠ACB = 180° - 117° = 63°. Since, OB is the bisector of angle ABC. ∴ ∠OBC = = 37°. Since, OC is the bisector of angle ACB. ∴ ∠OCB = = 31.5°. In △ OBC, By angle sum property of triangle, ⇒ ∠OBC + ∠OCB + ∠BOC = 180° ⇒ 37° + 31.5° + ∠BOC = 180° ⇒ 68.5° + ∠BOC = 180° ⇒ ∠BOC = 180° - 68.5° = 111.5° ∴ ∠BOC ∠OBC ∠OCB ∴ BC CO BO (If two angles of a triangle are unequal, the greater angle has the greater side opposite to it.) Hence, sides of triangle BOC in descending order are BC CO BO.

If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.

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In each of the following figures, write BC, AC and CD in ascending order of their lengths.

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D is a point in side BC of triangle ABC. If AD > AC, show that AB > AC.

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In the following figure, ∠BAC = 60° and ∠ABC = 65°. Prove that :
(i) CF > AF
(ii) DC > DF

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Mathematics

Arrange the sides of △ BOC in descending order of their lengths. BO and CO are bisectors of angles ABC and ACB respectively.

Triangles

Related Questions

If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.

In each of the following figures, write BC, AC and CD in ascending order of their lengths.

D is a point in side BC of triangle ABC. If AD > AC, show that AB > AC.

In the following figure, ∠BAC = 60° and ∠ABC = 65°. Prove that :
(i) CF > AF
(ii) DC > DF

Mathematics

Arrange the sides of △ BOC in descending order of their lengths. BO and CO are bisectors of angles ABC and ACB respectively.

Triangles

Related Questions

If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.

In each of the following figures, write BC, AC and CD in ascending order of their lengths.

D is a point in side BC of triangle ABC. If AD > AC, show that AB > AC.

In the following figure, ∠BAC = 60° and ∠ABC = 65°. Prove that :(i) CF > AF(ii) DC > DF

In the following figure, ∠BAC = 60° and ∠ABC = 65°. Prove that :
(i) CF > AF
(ii) DC > DF