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Construct a Triangle Using the Given Data: Perimeter of Triangle is 10.6 Cm, and the Base Angles Are 60° and 45° - Mathematics

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प्रश्न

Construct a triangle using the given data: Perimeter of triangle is 10.6 cm, and the base angles are 60° and 45°

योग

उत्तर

Perimeter of triangle is 10.6 cm, and the base angles are 60° and 45°

Steps of construction:
1. Draw DE = 10.6 cm.
2. Draw DP and EQ such that ∠PDE = 90° and ∠QED = 60°.
3. Draw AD and AE, the bisectors of angles PDE and QED respectively, intersecting each other at A.
4. Draw perpendicular bisectors of AD and  AE, intersecting DE at points B and C respectively.
5. Join AB and AC.
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 12.3
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