Question Paper
Class / Subject: Class 10 (SSC) · Mathematics - Geometry (भूमिती)
Chapter: Chapter 2 — Chapter 2: Pythagoras Theorem
Time Allowed: 32 minutes
Max Marks: 16
1. What does the Pythagoras theorem state? [1]
(A) a²+b²=c² for a right triangle
(B) a+b=c for any triangle
(C) a²-b²=c² for a right triangle
(D) a×b=c for a right triangle
2. What is the hypotenuse? [1]
(A) The longest side, opposite the right angle
(B) The shortest side
(C) Any side of the triangle
(D) A side outside the triangle
3. What type of triangle does this theorem apply to? [1]
(A) Right triangles only
(B) All triangles
(C) Only equilateral triangles
(D) Only isosceles triangles
4. What is the hypotenuse of a right triangle with legs 3 and 4? [1]
(A) 5
(B) 7
(C) 12
(D) 25
5. What does the converse of the theorem state? [1]
(A) If a²+b²=c², the triangle is right-angled
(B) The theorem has no converse
(C) a²+b²=c² is always false
(D) Only right triangles have a converse
6. What is a²+b² if a=6, b=8? [1]
(A) 100
(B) 14
(C) 48
(D) 28
7. Where is this theorem applied practically? [1]
(A) Construction and navigation
(B) Nowhere practical
(C) Only in abstract maths
(D) Only in art
8. Why learn the Pythagoras theorem? [1]
(A) To calculate distances and solve right triangle problems
(B) No reason
(C) It's not useful
(D) Only for tests
9. What does the Pythagoras theorem state? [1]
(A) a²+b²=c² for a right triangle
(B) a+b=c for any triangle
(C) a²-b²=c² for a right triangle
(D) a×b=c for a right triangle
10. What is the hypotenuse? [1]
(A) The longest side, opposite the right angle
(B) The shortest side
(C) Any side of the triangle
(D) A side outside the triangle
11. What type of triangle does this theorem apply to? [1]
(A) Right triangles only
(B) All triangles
(C) Only equilateral triangles
(D) Only isosceles triangles
12. What is the hypotenuse of a right triangle with legs 3 and 4? [1]
(A) 5
(B) 7
(C) 12
(D) 25
13. What does the converse of the theorem state? [1]
(A) If a²+b²=c², the triangle is right-angled
(B) The theorem has no converse
(C) a²+b²=c² is always false
(D) Only right triangles have a converse
14. What is a²+b² if a=6, b=8? [1]
(A) 100
(B) 14
(C) 48
(D) 28
15. Where is this theorem applied practically? [1]
(A) Construction and navigation
(B) Nowhere practical
(C) Only in abstract maths
(D) Only in art
16. Why learn the Pythagoras theorem? [1]
(A) To calculate distances and solve right triangle problems
(B) No reason
(C) It's not useful
(D) Only for tests