Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?A.The triangle in question is a right triangle.B.The triangle in question may or may not be a right triangle.C.The triangle in question is not a right triangle.
Question
Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?A.The triangle in question is a right triangle.B.The triangle in question may or may not be a right triangle.C.The triangle in question is not a right triangle.
Solution
A. The triangle in question is a right triangle.
This is because it follows the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².
In this case, if we square each side we get: 3² + 4² = 5², 9 + 16 = 25, and indeed 25 = 25. So, it is a right triangle.
Similar Questions
A triangle with sides of lengths 16, 30, and 35 is a right triangle.A.TrueB.False
Which of the following does not represent sides of a right triangle?Group of answer choices3, 4, 55, 12, 133.9, 8, 8.93, 5, 8
Which statements are true?Select each correct answer.ResponsesAll triangles have 3 sides that are equal in length.All triangles have 3 sides that are equal in length.Only some triangles have 1 right angle.Only some triangles have 1 right angle.All triangles are polygons.All triangles are polygons.All triangles have 3 angles.All triangles have 3 angles.All triangles are open figures.
Which of the following triangles is a right triangle given the measure of the sides.*A. 1 unit, 2 units, 3 unitsB. 4 units, 5 units, 10 unitsC. 3 units, 4 units, 5 unitsD. 6 units, 7 units, 12 units
Triangle has sides a2, b2, c2. Then the triangle with sides a, b, c has to b?Choices:- Right angled Acute angled Obtuse angled Can be any of these threeSave AnswerSkip this questionFinish Exam
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.