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Quiz Chapter 13: The Pythagoras Theorem

10 questions · Form 1 Mathematics Bab 13: The Pythagoras Theorem

Question 1 of 10Score: 0

Which of the following triple is NOT a Pythagorean triple?

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Which of the following triple is NOT a Pythagorean triple?

  1. 3, 4, 5
  2. 5, 12, 13
  3. 6, 9, 12
  4. 8, 15, 17
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Answer: C

Check 6² + 9² = 36 + 81 = 117, whereas 12² = 144. Since 117 ≠ 144, 6, 9, 12 is not a Pythagorean triple.

2. A triangle has sides 9 cm, 12 cm, and 15 cm. What is the area of this triangle?

  1. 108 cm²
  2. 54 cm²
  3. 90 cm²
  4. 67.5 cm²
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Answer: B

Since 9² + 12² = 15², it is a right-angled triangle with perpendicular sides 9 cm and 12 cm. Area = 12 × 9 × 12 = 54 cm².

3. Calculate the perpendicular height of an isosceles triangle with side lengths 10 cm, 10 cm, and a base of 12 cm.

  1. 6 cm
  2. 8 cm
  3. 4 cm
  4. 16 cm
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Answer: B

The height bisects the base into two 6 cm segments. Height = √(10² - 6²) = √(100 - 36) = √64 = 8 cm.

4. In a right-angled triangle, the lengths of the two shorter sides are 6 cm and 8 cm. Find the length of the hypotenuse.

  1. 10 cm
  2. 14 cm
  3. 12 cm
  4. 100 cm
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Answer: A

c = √(6² + 8²) = √(36 + 64) = √100 = 10 cm.

5. The diagonal of a square is 10 cm. Find the area of the square.

  1. 100 cm²
  2. 50 cm²
  3. 25 cm²
  4. 200 cm²
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Answer: B

Let side = s. s² + s² = 10² => 2s² = 100 => s² = 50. Area = s² = 50 cm².

6. The hypotenuse of a right-angled triangle is 25 cm. If one of the sides is 24 cm, find the area of the triangle.

  1. 84 cm²
  2. 168 cm²
  3. 300 cm²
  4. 150 cm²
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Answer: A

Other side = √(25² - 24²) = √(625 - 576) = √49 = 7 cm. Area = 12 × 7 × 24 = 84 cm².

7. A right-angled isosceles triangle has two equal sides of length 7 cm. Find the length of the hypotenuse to 2 decimal places.

  1. 9.90 cm
  2. 14.00 cm
  3. 9.80 cm
  4. 11.40 cm
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Answer: A

Hypotenuse = √(7² + 7²) = √(49 + 49) = √98 ≈ 9.90 cm.

8. A runner travels 8 km due North and then 15 km due East. How far is the runner from the starting point?

  1. 23 km
  2. 17 km
  3. 161 km
  4. 13 km
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Answer: B

Distance = √(8² + 15²) = √(64 + 225) = √289 = 17 km.

9. Find the perimeter of a right-angled triangle whose two perpendicular sides are 9 cm and 40 cm.

  1. 90 cm
  2. 81 cm
  3. 49 cm
  4. 41 cm
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Answer: A

Hypotenuse = √(9² + 40²) = √(81 + 1600) = √1681 = 41 cm. Perimeter = 9 + 40 + 41 = 90 cm.

10. In a rhombus with diagonal lengths 12 cm and 16 cm, find the length of one side of the rhombus.

  1. 10 cm
  2. 14 cm
  3. 20 cm
  4. 28 cm
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Answer: A

Diagonals of a rhombus bisect each other at right angles. Half diagonals are 6 cm and 8 cm. Side = √(6² + 8²) = √100 = 10 cm.

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