Class 10 Maths Geometry Formulas with Examples [CBSE 2025-26]

Geometry is a vital section of Class 10 Maths that significantly impacts your final CBSE Board score. It includes essential chapters such as Circles, Constructions, Triangles, and Coordinate Geometry. Mastering the geometry formulas can help students solve complex problems quickly during exams. The most frequently used formulas in Class 10 Geometry include the Pythagoras Theorem, Areas of Similar Triangles, and the Distance Formula in Coordinate Geometry.

Understanding each formula with examples ensures clarity and accuracy. For instance, in triangles, the basic proportionality theorem (Thales theorem) helps solve problems involving similar triangles. Likewise, in Coordinate Geometry, applying the distance formula D = √[(x₂ – x₁)² + (y₂ – y₁)²] helps find the length between two points on a graph. To boost your preparation, refer to our detailed guide on Class 10 Maths All Formulas Chapterwise.

Class 10 Geometry Formulas Explained - Video Guide

Understanding geometry formulas is essential for scoring high in Class 10 CBSE Maths. The video below provides a clear explanation of important geometry formulas including those related to triangles, circles, coordinate geometry, and more. It is highly recommended for students who are looking to revise quickly before exams or clarify doubts on specific formulas.

This visual guide breaks down each formula with examples so you can understand the application rather than just memorizing it. Whether you're preparing for the Basic Maths or Standard Maths CBSE exam, this video is a great resource to reinforce your concepts. Don’t forget to take notes as the video progresses and revisit the tricky parts for better retention.

For additional formulas and examples across all chapters, visit our Complete Class 10 Maths Formulas post.

Table of Contents

• Geometry Formulas from Triangles
• Important Coordinate Geometry Formulas
• Formulas in Circles and Constructions
• How to Remember Geometry Formulas
• Marking Scheme & Tips to Score Full Marks
• FAQs on Class 10 Geometry Formulas

Geometry Formulas from Triangles [With Examples]

The chapter Triangles in Class 10 introduces several geometry formulas that are fundamental for CBSE Board exams. The most used formulas include:

• Pythagoras Theorem: In a right-angled triangle, (Hypotenuse)² = (Base)² + (Height)²
• Area of Triangle (Heron’s Formula): √[s(s–a)(s–b)(s–c)], where s = (a+b+c)/2
• Similarity of Triangles: If two triangles are similar, then their corresponding sides are proportional and angles are equal.

Example: In triangle ABC, right-angled at B, AB = 6 cm, BC = 8 cm. Find AC.

Solution: By Pythagoras Theorem:
AC² = AB² + BC² = 36 + 64 = 100 → AC = √100 = 10 cm

These formulas are frequently tested in both Standard and Basic Maths CBSE Sample Papers. Practice them regularly and refer to RD Sharma Solutions Exercise 11 for better understanding.

Important Coordinate Geometry Formulas

Coordinate Geometry connects algebra with geometry and is highly scoring. Key formulas include:

• Distance Formula: D = √[(x₂ – x₁)² + (y₂ – y₁)²]
• Midpoint Formula: M = ((x₁+x₂)/2, (y₁+y₂)/2)
• Section Formula: P = ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))

Example: Find the distance between points A(3, 2) and B(7, 6).

Solution: D = √[(7–3)² + (6–2)²] = √[16 + 16] = √32 = 5.66 units

These formulas are essential for your chapter-wise weightage strategy. For concept clarity, check out our NCERT Exemplar Solutions.

Formulas in Circles and Constructions

The geometry topics of Circles and Constructions in Class 10 include practical application-based questions. Important formulas include:

• Length of Tangent from External Point: l = √(OP² – r²)
• Angle subtended by the same chord: Equal angles are subtended on the same side of the circle.

Constructions are technique-based and require understanding of geometrical tools. Ensure you know how to construct:

• Division of a line segment in a given ratio
• Construct tangents to a circle from a point outside it

For step-by-step guides, visit Important Theorems & Proofs for Class 10.

How to Remember Geometry Formulas in Class 10?

Here’s a step-by-step method to remember and apply geometry formulas effectively:

1. Create a formula sheet using our chapterwise formula list.
2. Practice 5–10 problems daily from different topics like Triangles, Coordinate Geometry, and Circles.
3. Use visuals or diagrams wherever possible.
4. Revise weekly using Oswaal Question Bank or Arihant Books.

CBSE Class 10 Geometry Marking Scheme & Full Marks Tips

Geometry contributes about 15–18 marks in the CBSE Class 10 Maths exam. Here’s a breakdown:

• Triangles: 6 marks
• Coordinate Geometry: 4 marks
• Circles: 3 marks
• Constructions: 4 marks

Tips to Score Full Marks:

1. Write all formulas before solving the question.
2. Include neat diagrams with labels in construction-based questions.
3. Practice from both NCERT and RD Sharma for a better understanding.

FAQs on Class 10 Maths Geometry Formulas

Q1. What are the most important geometry formulas for Class 10?

Key formulas include the Pythagoras Theorem, Area of Triangle, Distance and Midpoint Formulas, and Length of Tangent from a Point.

Q2. Where can I find all Class 10 Maths formulas?

You can access the full formula list at Class 10 Maths All Formulas page.

Q3. How to improve accuracy in Geometry problems?

Practice regularly, revise formulas daily, and solve PYQs and sample papers. Use tools like RD Sharma and NCERT Exemplar for clarity.