Construct a triangle ABC in which BC is 6 cm - - B is 70- and AC - AB -2-

Steps Draw line segment BC=6 cm. Draw ray BX which makes an angle 70^∘ with BC. Cut line segment BD of length AC AB=2 cm on BX on the opposite side of BC, ...

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Standard X

Mathematics

Locus of the Points Equidistant From Two Intersecting Lines

Construct a t...

Question

Construct a triangle ABC in which BC is 6 cm, $∠$ B is $70^{\circ}$ and AC - AB = 2.

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Solution

Steps-

-Draw line segment BC=6 cm. Draw ray BX which makes an angle $70^{\circ}$ with BC.

-Cut line segment BD of length AC-AB=2 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 6 cm, ∠ B is 70∘ and AC - AB = 2.

Steps- -Draw line segment BC=6 cm. Draw ray BX which makes an angle 70∘ with BC. -Cut line segment BD of length AC-AB=2 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 6 cm, $∠$ B is $70^{\circ}$ and AC - AB = 2.