Pythagoras theorem and conversePractice Questions & MCQs
Practice Pythagoras theorem and converse questions from Triangles (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Pythagoras theorem and converseQuiz - Solve & Score
Q1. A telephone-line worker rests a stayed ladder 97 m long against a pole so that its top reaches 72 m up. How far from the base of the wall is the foot of the ladder?
- A.25 m
- B.169 m
- C.65 m
- D.121 m
Answer: C. 65 m
The ladder is the hypotenuse, so foot = sqrt(97^2 - 72^2) = sqrt(9409 - 5184) = sqrt(4225) = 65 m.
Q2. A library assistant rests a sliding ladder 50 m long against a tall bookshelf so that its top reaches 48 m up. How far from the base of the wall is the foot of the ladder?
- A.14 m
- B.98 m
- C.2 m
- D.69 m
Answer: A. 14 m
The ladder is the hypotenuse, so foot = sqrt(50^2 - 48^2) = sqrt(2500 - 2304) = sqrt(196) = 14 m.
Q3. A theatre technician rests an access ladder 34 m long against the backstage wall so that the upper end reaches 30 m up. How far from the base of the wall is the foot of the ladder?
- A.16 m
- B.64 m
- C.4 m
- D.45 m
Answer: A. 16 m
The ladder is the hypotenuse, so foot = sqrt(34^2 - 30^2) = sqrt(1156 - 900) = sqrt(256) = 16 m.
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Where can I practise Pythagoras theorem and converse questions for Class 10 Maths?
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Are these Pythagoras theorem and converse questions important for the exam?
Yes. These Pythagoras theorem and converse important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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Every Pythagoras theorem and converse question on RankByte comes with the correct answer and a full step-by-step solution, so you learn the concept instead of just guessing.