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Pythagoras Theroem — Practice Quiz

ICSE · Class 7 · Mathematics

Try a 4-question quiz on Pythagoras Theroem for ICSE Class 7 Mathematics: tap an answer to check it and see why. 71 questions in the full chapter test.

71 questions24 flashcards9 formulas & key relations5 concepts

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Quick Quiz: Pythagoras Theroem

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1

A right-angled triangle ABC has angle A = 90°. If AB = 9 cm and AC = 12 cm, what is the length of BC?

2

Triangle XYZ is right-angled at Z. If XY = 17 cm and XZ = 8 cm, what is YZ?

3

Triangle PQR is right-angled at R. If PQ = 13 cm and QR = 5 cm, what is PR?

4

A triangle has sides 20 cm, 21 cm, and 29 cm. Test whether it is a right-angled triangle.

71 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice
3 marks

In right-angled triangle ABC, angle C = 90°. If AB = 25 cm and AC = 7 cm, what is BC?

Show answer

24 cm

1. Since angle C = 90°, AB is the hypotenuse. 2. Use AB^2 = AC^2 + BC^2. 3. 25^2 = 7^2 + BC^2. 4. 625 = 49 + BC^2. 5. BC^2 = 625 - 49 = 576. 6. BC = √576 = 24 cm.

2multiple choice
3 marks

Triangle ACD is right-angled at C. If AD = 17 cm and AC = 15 cm, what is CD?

Show answer

8 cm

1. AD is the hypotenuse because angle ACD = 90°. 2. Use AC^2 + CD^2 = AD^2. 3. 15^2 + CD^2 = 17^2. 4. 225 + CD^2 = 289. 5. CD^2 = 289 - 225 = 64. 6. CD = √64 = 8 cm.

3multiple choice
3 marks

In a figure, B, C and D are collinear. If BC = 20 cm and CD = 8 cm, what is BD?

Show answer

28 cm

1. Since C lies between B and D, BD = BC + CD. 2. BD = 20 + 8. 3. BD = 28 cm.

4multiple choice
3 marks

Triangle ABC has side lengths 7 cm, 24 cm, and 25 cm. Which statement is correct?

Show answer

It is a right-angled triangle because 25^2 = 7^2 + 24^2

1. The largest side is 25 cm. 2. Compute the squares: 25^2 = 625. 3. 7^2 + 24^2 = 49 + 576 = 625. 4. Since the squares are equal, the triangle is right-angled.

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Frequently Asked Questions

What are the important topics in Pythagoras Theroem for ICSE Class 7 Mathematics?
Key topics in Pythagoras Theroem include Hypotenuse and Basic Idea, Statement of Pythagoras Theorem, Finding a Missing Side - Solved Examples, Testing Whether a Triangle is Right-Angled. Study these first, then practise questions on each for Class 7 exams.
How many practice questions are there for Pythagoras Theroem?
There are 71 questions on Pythagoras Theroem. 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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