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A triangle is isosceles and right angled. Which of the following statements must be false?
  • a)
    The triangle has angles 45°, 45° and 90°
  • b)
    The triangle has two of its sides equal
  • c)
    The triangle has one line of symmetry
  • d)
    The triangle has sides of lengths 3, 4 and 5
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A triangle is isosceles and right angled. Which of the following state...
Since the triangle is isosceles, it must have two equal angles. Since it is also right angled, the other two angles must both be 45° (45° + 45° +90° = 180°) So A is true.
Since the triangle is isosceles, it must have two of its sides equal. So B is true.
An isosceles triangle has one line of symmetry. So C is also true.
A triangle that satisfies A, B and C is shown in the following diagram:

Line l is the axis of symmetry Statement D must be false since a triangle with three different sides cannot be isosceles.
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A triangle is isosceles and right angled. Which of the following statements must be false?a)The triangle has angles 45°, 45° and 90°b)The triangle has two of its sides equalc)The triangle has one line of symmetryd)The triangle has sides of lengths 3, 4 and 5Correct answer is option 'D'. Can you explain this answer?
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A triangle is isosceles and right angled. Which of the following statements must be false?a)The triangle has angles 45°, 45° and 90°b)The triangle has two of its sides equalc)The triangle has one line of symmetryd)The triangle has sides of lengths 3, 4 and 5Correct answer is option 'D'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about A triangle is isosceles and right angled. Which of the following statements must be false?a)The triangle has angles 45°, 45° and 90°b)The triangle has two of its sides equalc)The triangle has one line of symmetryd)The triangle has sides of lengths 3, 4 and 5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A triangle is isosceles and right angled. Which of the following statements must be false?a)The triangle has angles 45°, 45° and 90°b)The triangle has two of its sides equalc)The triangle has one line of symmetryd)The triangle has sides of lengths 3, 4 and 5Correct answer is option 'D'. Can you explain this answer?.
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