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Construct a Triangle Using the Given Data: Bc = 6.0cm, ∠B = 60° and ∠C = 45° - Mathematics

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प्रश्न

Construct a triangle using the given data: BC = 6.0cm, ∠B = 60° and ∠C = 45°

योग

उत्तर

BC = 6.0cm, ∠B = 60° and ∠C = 45°

Steps of Construction:
1. Draw a line segment BC = 6cm.
2. With B as centre, draw an arc meeting BC at M.
3. With M as centre and same radius, cut the arc at N.
4. Produce BN to BX. BX makes an angle of 60° with BC.
5. With C as centre, draw an arc meeting BC at P.
6. With P as centre and same radius, cut the arc at Q and with Q as centre and same radius, cut the arc at R.
7. With Q and R as centre, cut arcs and draw CY perpendicular to BC.
8. Bisect  ∠YCB. Let CZ be the bisector. CZ makes an angle of 45° with BC.
9. Mark the point as A, where CZ and BX cut each other.
Thus, ABC is the required triangle.

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अध्याय 14: Constructions of Triangles - Exercise 14.1

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 14 Constructions of Triangles
Exercise 14.1 | Q 3.1
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