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Area of a Trapezium and a Polygon — Flashcards

ICSE · Class 8 · Mathematics

30 flashcards for Area of a Trapezium and a Polygon (ICSE Class 8 Mathematics) to test yourself on key terms and facts.

64 questions30 flashcards21 formulas & key relations5 concepts

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30 Flashcards·
Triangle areaEquilateral triangle areaTriangle conceptsTriangle perimeter
Card 1Triangle area

Solve: Find the area of a triangle with base 12 cm and height 8 cm.

Answer

Step 1: Use area = (1/2) × base × height. Step 2: area = (1/2) × 12 × 8. Step 3: area = 6 × 8 = 48 cm². Answer: 48 cm²…

Card 2Triangle area

Solve: A triangle has sides 9 cm, 12 cm, and 15 cm. Find its area using Heron's formula.

Answer

Step 1: Find semi-perimeter. s = (9 + 12 + 15) / 2 = 36 / 2 = 18 cm. Step 2: Use Heron's formula. Area = √(s(s-a)(s-b)(s-c)) = √(18(18-9)(18-12)(18-15)) = √(18 × 9 × 6 × 3) = √2916 Step 3: Take square…

Card 3Triangle area

When do you use Heron's formula? Show a quick example.

Answer

Use Heron's formula when all three sides of a triangle are known and height is not given. Formula: Area = √(s(s-a)(s-b)(s-c)), where s = (a+b+c)/2. Example: For sides 4 cm, 5 cm, 6 cm: s = (4+5+6)/2 =…

Card 4Equilateral triangle area

Solve: Find the area of an equilateral triangle whose side is 6 cm.

Answer

Step 1: Use area of equilateral triangle = (√3/4) a². Step 2: Put a = 6 cm. Area = (√3/4) × 6² = (√3/4) × 36 = 9√3 cm². Answer: 9√3 cm²…

Card 5Triangle area

Solve: A triangle has area 54 cm² and base 15 cm. Find its height.

Answer

Step 1: Use area = (1/2) × base × height. Step 2: 54 = (1/2) × 15 × h. Step 3: 54 = 7.5h. Step 4: h = 54 / 7.5 = 7.2 cm. Answer: 7.2 cm…

Card 6Triangle area

Solve: An isosceles triangle has base 12 cm and equal sides 10 cm each. Find its area.

Answer

Step 1: The perpendicular from the vertex to the base bisects the base. So, half of base = 12 / 2 = 6 cm. Step 2: Use Pythagoras in the right triangle. h² + 6² = 10² h² + 36 = 100 h² = 64 h = 8 cm. St…

Card 7Triangle concepts

What is the difference between base and height in a triangle?

Answer

Any side of a triangle can be taken as the base. The height is the perpendicular distance from the opposite vertex to that base. Base can be a slant side too, but height must always be perpendicular.

Card 8Triangle perimeter

Solve: Find the perimeter of a triangle with sides 8 cm, 11 cm, and 13 cm.

Answer

Step 1: Perimeter of a triangle = sum of its three sides. Step 2: Perimeter = 8 + 11 + 13 = 32 cm. Answer: 32 cm…

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Frequently Asked Questions

What are the important topics in Area of a Trapezium and a Polygon for ICSE Class 8 Mathematics?
Key topics in Area of a Trapezium and a Polygon include Basics of Perimeter and Area, Triangle Formulas and Solved Patterns, Rectangle and Square, Trapezium and Parallelogram. Study these first, then practise questions on each for Class 8 exams.
How many flashcards are available for Area of a Trapezium and a Polygon?
There are 30 flashcards for Area of a Trapezium and a Polygon covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Area of a Trapezium and a Polygon for Class 8 exams?
Learn the core ideas first, then work through the 64 practice questions on Area of a Trapezium and a Polygon. Revise definitions regularly and use flashcards for quick recall before the exam.

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