Start learning →

ICSE Class 9 Pythagoras Theorem — practice questions

Explore 27 free Pythagoras Theorem questions in ICSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Pythagoras Theorem with Quill →

Pythagoras Theorem questions and exercises with answers

Showing questions 1–27 of 27.

Pythagoras theorem applies to which type of triangle?Read the answer and worked solution →In a right triangle the side opposite the right angle is called theRead the answer and worked solution →Pythagoras theorem states that in a right triangleRead the answer and worked solution →If legs of a right triangle are 3 and 4, the hypotenuse isRead the answer and worked solution →The hypotenuse of a right triangle with legs 6 cm and 8 cm isRead the answer and worked solution →The diagonal of a rectangle 5 cm by 12 cm isRead the answer and worked solution →A ladder 13 m long rests against a wall with foot 5 m from the wall. The ladder reaches a height ofRead the answer and worked solution →Which set forms the sides of a right triangle?Read the answer and worked solution →The diagonal of a square of side a isRead the answer and worked solution →The hypotenuse of a right triangle with legs 9 cm and 12 cm isRead the answer and worked solution →If the hypotenuse is 25 cm and one leg is 7 cm, the other leg isRead the answer and worked solution →A right triangle has legs of 1 cm each. Its hypotenuse isRead the answer and worked solution →Two poles of heights 15 m and 6 m stand 12 m apart. The distance between their tops isRead the answer and worked solution →Triangle ABC is right-angled at C with BC = 24 cm and AC = 7 cm. AB equalsRead the answer and worked solution →A rhombus has diagonals 16 cm and 12 cm. The side of the rhombus isRead the answer and worked solution →Find x if sides of a right triangle are 9, x and 15 with 15 the hypotenuse.Read the answer and worked solution →Hypotenuse of a right triangle is 17 cm and one leg is 8 cm. Other leg isRead the answer and worked solution →A wire is bent into a right triangle with legs 5 cm and 12 cm. Total wire isRead the answer and worked solution →If 7, 24 and c are sides of a right triangle with c the hypotenuse, c equalsRead the answer and worked solution →In an isosceles right triangle each equal side is 10 cm. The hypotenuse isRead the answer and worked solution →Complete the tripletRead the answer and worked solution →Hypotenuse arithmeticRead the answer and worked solution →Right triangle or notRead the answer and worked solution →Match the triplet factsRead the answer and worked solution →Pythagoras facts, true or falseRead the answer and worked solution →Quick triplet picksRead the answer and worked solution →The right angle testRead the answer and worked solution →

Worked practice questions

Pythagoras theorem applies to which type of triangle?

  1. A right-angled triangle
  2. An equilateral triangle only
  3. An isosceles triangle only
  4. A scalene triangle only
Show answer and solution

Correct answer: A. A right-angled triangle

1. The theorem relates the squares of the sides of a triangle. 2. It is valid only if one angle is 90 degrees. 3. Such a triangle is right-angled. 4. So option A is correct. _Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on Pythagoras theorem_

Open this question →

In a right triangle the side opposite the right angle is called the

  1. Adjacent side next to the right angle
  2. Hypotenuse, the longest side
  3. Opposite side of any chosen angle
  4. Altitude from a triangle vertex
Show answer and solution

Correct answer: B. Hypotenuse, the longest side

1. A right triangle has three sides: two legs and a slanting side. 2. The slanting side faces the 90-degree angle. 3. This is called the hypotenuse and is the longest. 4. So option A is correct. _Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on right triangle_

Open this question →

Pythagoras theorem states that in a right triangle

  1. a^2 - b^2 = c^2 with c the hypotenuse
  2. a + b = c for the three sides
  3. a^2 + b^2 = c^2 with c the hypotenuse
  4. a^2 + b^2 = 2 c^2 with c the hypotenuse
Show answer and solution

Correct answer: C. a^2 + b^2 = c^2 with c the hypotenuse

1. a and b are the two legs and c is the hypotenuse. 2. The sum of squares of legs equals square of hypotenuse. 3. So a^2 + b^2 = c^2. 4. Hence option A is correct. _Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on statement_

Open this question →

How to practise

  1. Choose a Pythagoras Theorem question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

LogarithmsAlgebraBinomial TheoremGeometryNumber TheoryProbability & StatisticsQuadratic EquationsSequences