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Chapter 18 of 26
Formula Sheet

Constructions

NIOS · Class 10 · Maths

All formulas from Constructions in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.

44 questions20 flashcards5 concepts

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A step-by-step diagram illustrating the construction of dividing a line segment AB internally in a given ratio (e.g., 2:3) using a ray and parallel lines. Shows the initial line segment, the acute ang
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9 Formulas · 4 Sections

Formulas

Line Segment Division

For ratio m:n, mark (m+n) points on ray

Triangle Constructions - Basic Cases

SSS: Three sides given

SAS: Two sides and included angle

ASA: Two angles and included side

RHS: Right angle, hypotenuse, and one side

Special Triangle Constructions

Perimeter and base angles: Use half-angles at endpoints

Sum/difference of sides: Use perpendicular bisector method

Similar Triangle Construction

Scale factor = New triangle sides / Original triangle sides

For scale factor m/n: Mark n points, use mth point

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Frequently Asked Questions

What are the important topics in Constructions for NIOS Class 10 Maths?
Constructions covers several key topics that are frequently asked in NIOS Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Constructions — NIOS Class 10 Maths?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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