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 = 4 cm. Draw ray BX which makes an angle 45^∘ nbsp;with BC. nbsp; Cut nbsp;line segment BD of length AB − AC = 1.75 cm on ...

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Standard IX

Mathematics

Constructing a Similar Triangle with a Scale Factor

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

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

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

-Triangle 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 = 4 cm. Draw ray BX which makes an angle 45∘ with BC. -Cut line segment BD of length AB − AC = 1.75 cm on BX. Join CD. -Draw the perpendicular bisector of CD. Let the perpendicular bisector intersect ray BX at A. Join AC. -Triangle 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.