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Inequalities — Practice Quiz

ICSE · Class 9 · Mathematics

Try a 4-question quiz on Inequalities for ICSE Class 9 Mathematics: tap an answer to check it and see why. 28 questions in the full chapter test.

28 questions25 flashcards12 formulas & key relations5 concepts

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A diagram illustrating Theorem 3: If two sides of a triangle are unequal, the greater side has the greater angle opposite to it. Show triangle ABC with AB > AC, and highlight the angles opposite to th
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Quick Quiz: Inequalities

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

In triangle ABC, if AB = 5 cm, BC = 12 cm, and AC = 13 cm, which angle is the largest?

2

In triangle ABC, AB > BC > CA. Which statement is true?

3

In triangle DEF, if DE = 6 cm and EF = 10 cm, which value is NOT possible for DF?

4

If P is a point inside triangle ABC, which inequality is always true?

28 Questions·
multiple choicemultiple correcttext answerorderingtrue falsematching

Sample Questions

1multiple correct

Which of the following sets of lengths can form a triangle?

Show answer

3, 4, 5, 5, 12, 13, 6, 8, 10

Step 1: Apply triangle inequality - sum of any two sides > third side. Step 2: Check each set: (3,4,5): 3+4=7>5 ✓, 3+5=8>4 ✓, 4+5=9>3 ✓. (2,3,6): 2+3=5<6 ✗. (5,12,13): All conditions satisfied ✓. (1,2,4): 1+2=3<4 ✗. (6,8,10): All conditions satisfied ✓.

2text answer

If two sides of a triangle are 8 cm and 15 cm, what is the range of possible values for the third side?

3multiple correct

Which of the following statements about triangle inequalities are correct?

Show answer

Sum of any two sides > third side, Difference of any two sides < third side, Largest angle is opposite to largest side, Perpendicular is the shortest distance

Step 1: Triangle inequality states sum of two sides > third side ✓. Step 2: Difference of two sides < third side ✓. Step 3: In a triangle, largest angle is opposite to largest side ✓. Step 4: Sum of angles = 180° is true but not an inequality ✗. Step 5: Perpendicular distance is shortest ✓.

4ordering

Arrange the following steps to prove that in a triangle, the sum of any two sides is greater than the third side:

+24 more questions on Inequalities (ICSE Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 9 Mathematics?
Key topics in Inequalities include Basic Symbols and Meaning, Triangle Side-Angle Relationships, Perpendicular from an Outside Point, Triangle Inequality Results. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Inequalities?
There are 28 questions on Inequalities. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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