Construct a triangle ABC in which BC is 3 cm- Angle B is 60- and AC - AB -1 cm-

Steps Draw line segment BC=3cm. Draw ray BX which makes an angle 60^∘ with BC. Cut line segment BD of length AC AB=1 cm on BX on the opposite side of BC. ...

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Standard X

Mathematics

Circumcenter and Construction of Circumcircle in a Triangle

Construct a t...

Question

Construct a triangle ABC in which BC is 3 cm, Angle B is $60^{\circ}$ and AC - AB = 1 cm.

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Solution

Steps-

-Draw line segment BC=3cm. Draw ray BX which makes an angle $60^{\circ}$ with BC.

-Cut line segment BD of length AC-AB=1 cm on BX on the opposite side of BC. Join CD.

-Draw the perpendicular bisector of CD. Let the perpendicular bisector intersect ray BX at A.

-Angle ABC is the required triangle.

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Construct a triangle ABC in which BC is 3 cm, Angle B is 60∘ and AC - AB = 1 cm.

Steps- -Draw line segment BC=3cm. Draw ray BX which makes an angle 60∘ with BC. -Cut line segment BD of length AC-AB=1 cm on BX on the opposite side of BC. Join CD. -Draw the perpendicular bisector of CD. Let the perpendicular bisector intersect ray BX at A. -Angle ABC is the required triangle.

Construct a triangle ABC in which BC is 3 cm, Angle B is $60^{\circ}$ and AC - AB = 1 cm.