
Converse of Pythagorean theorem
Quiz by Sarah Green
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14 questions
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- Q1Which of the following statements is the converse of the Pythagorean theorem?If a triangle is a right triangle, then the sum of the squares of its two legs is equal to the square of its hypotenuse.If a triangle is a right triangle, then the lengths of its legs are equal.If a triangle has sides of lengths a, b, and c, and a^2 + b^2 = c^2, then the triangle is a right triangle.If a triangle is a right triangle, then the length of its hypotenuse is equal to the sum of the lengths of its two legs.30s
- Q2Given a triangle with sides of lengths 5, 12, and 13, which of the following statements is true?The triangle is a right triangle.The triangle is an isosceles triangle.The triangle is an acute triangle.The triangle is an equilateral triangle.30s
- Q3In a triangle with sides of lengths 9, 40, and 41, what conclusion can be drawn?The triangle is an isosceles triangle.The triangle is an acute triangle.The triangle is a right triangle.The triangle is an equilateral triangle.30s
- Q4If a triangle has sides of lengths 3, 4, and 5, what can be concluded?The triangle is an isosceles triangle.The triangle is a right triangle.The triangle is an equilateral triangle.The triangle is an acute triangle.30s
- Q5If a triangle has sides of lengths 7, 8, and 15, what conclusion can be drawn?The triangle is an isosceles triangle.The triangle is not a right triangle.The triangle is an acute triangle.The triangle is a right triangle.30s
- Q6If a triangle has sides of lengths 6, 8, and 10, what can be concluded?The triangle is an obtuse triangle.The triangle is an equilateral triangle.The triangle is a right triangle.The triangle is an isosceles triangle.30s
- Q7If a triangle has sides of lengths 3, 4, and 6, what can be concluded?The triangle is an isosceles triangle.The triangle is not a right triangle.The triangle is a right triangle.The triangle is an acute triangle.30s
- Q8If a triangle has sides of lengths 5, 13, and 12, what conclusion can be drawn?The triangle is an acute triangle.The triangle is an isosceles triangle.The triangle is not a right triangle.The triangle is a right triangle.30s
- Q9In a right triangle, if the lengths of the legs are 7 units and 24 units, what is the length of the hypotenuse?c25293030s
- Q10In a right triangle, if the lengths of the legs are 3 units and 4 units, what is the length of the hypotenuse?597b30s
- Q11In a right triangle, the length of one leg is 5 units and the length of the hypotenuse is 13 units. What is the length of the other leg?1210a830s
- Q12In a right triangle, if one of the legs is 6 units long and the other leg is 8 units long, what is the length of the hypotenuse?d12111030s
- Q13A ladder is leaning against a wall. If the base of the ladder is 5 feet away from the wall and the ladder is 13 feet long, how high does the ladder reach?12.8 feet14 feetb12 feet30s
- Q14A right triangle has a hypotenuse measuring 10 units and one leg measuring 6 units. What is the length of the other leg?8a91230s