Pythagoras theorem and converse MCQs
Practice Pythagoras theorem and converse multiple-choice questions from Triangles (Class 10 Maths) - tap an answer for instant feedback and a step-by-step solution. 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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