math tricks

1. Triangle (सबसे Important Topic)

📌 Angle Sum Property

बिंदुओं को खींचें

A

B

C

60.0°

60.0°

60.0°

👉 किसी भी triangle के angles का sum = 180°

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📌 Pythagoras Theorem (Right Triangle)

abc

👉 Shortcut:

• 3-4-5
• 5-12-13
• 8-15-17

Example:
Sides = 6, 8 → hypotenuse = √(36+64) = 10

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📌 Triangle Area

b = 8.0h = 6.0

👉 Shortcut:

• Base × Height पहचानो (time बचाओ)

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⚪ 2. Circle (SSC में बहुत पूछा जाता है)

📌 Area of Circle

r = 3.00 केंद्र से परिधि तक है। r दोगुना करने से क्षेत्रफल 4× होता है।

r = 3.00

👉 Shortcut:

• Radius double → Area 4×

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📌 Circumference

परिधिr = 3.00

👉 Shortcut:

• Diameter × π

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🔺 3. Polygon (बहुभुज)

📌 Interior Angle Sum

👉 Example:

• Pentagon → (5-2)×180 = 540°

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🔷 4. Special Triangles

📌 Equilateral Triangle

👉 Shortcut:

• All angles = 60°
• Height = (√3/2)a

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📏 5. Important SSC/BPSC Tricks

🔥 Trick 1: Similar Triangle

👉 Ratio same → sides proportional

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🔥 Trick 2: Angle in Circle

• Semicircle angle = 90°
• Same arc angles = equal

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🔥 Trick 3: Tangent Property

👉 External point से drawn दोनों tangents equal होते हैं

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🧠 6. Previous Year Level Questions

Q1. Triangle angles 2x, 3x, 4x → find x

👉 2x+3x+4x = 180
👉 9x = 180 → x = 20°

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Q2. Circle radius 7 → circumference?

👉 2πr = 44

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Q3. Pentagon interior angle sum?

👉 540°

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🎯 7. Quick Revision (1 Minute)

• Triangle → 180°
• Right triangle → a²+b²=c²
• Circle → πr², 2πr
• Polygon → (n-2)×180
• Tangent → equal
• Semicircle → 90°

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🚀 Next Step

Geometry 500 MCQ Test Series (SSC + BPSC)

 Q1. In a triangle, if angles are in ratio 2:3:4, find the smallest angle.

• 20° (B) 30° (C) 40° (D) 60°

 Answer: (C) 40°