Construct a triangle ABC in which BC is 4 cm- Angle B is 45- and AB - AC -1-75 cm-

Steps Draw line segment BC=4cm. Draw ray BX which makes an angle 45^∘ with BC. Cut line segment BD of length AB AC=1.75 on BX. Join CD. Draw the perpendi ...

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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 4 cm, Angle B is $45^{\circ}$ and AB-AC=1.75 cm.

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Solution

Steps-

-Draw line segment BC=4cm. Draw ray BX which makes an angle $45^{\circ}$ with BC.

-Cut line segment BD of length AB-AC=1.75 on BX. 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 4 cm, Angle B is 45∘ and AB-AC=1.75 cm.

Steps- -Draw line segment BC=4cm. Draw ray BX which makes an angle 45∘ with BC. -Cut line segment BD of length AB-AC=1.75 on BX. 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 4 cm, Angle B is $45^{\circ}$ and AB-AC=1.75 cm.

Steps-

-Draw line segment BC=4cm. Draw ray BX which makes an angle $45^{\circ}$ with BC.

-Cut line segment BD of length AB-AC=1.75 on BX. Join CD.

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

-Angle ABC is the required triangle.