QQuestionMathematics
QuestionMathematics
Isosceles triangles may be obtuse or acute but never right
A. True
B. False
12 months agoReport content
Answer
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Step 1:: Review the definition of an isosceles triangle and a right triangle.
An isosceles triangle is a triangle with two sides of equal length (the "legs") and two angles of equal measure. A right triangle is a triangle that contains a right angle (90 degrees).
Step 2:: Analyze the statement "Isosceles triangles may be obtuse or acute but never right."
An obtuse triangle is a triangle with one obtuse angle (an angle greater than 90 degrees but less than 180 degrees). An acute triangle is a triangle with three acute angles (each angle is less than 90 degrees).
Step 3:: Examine the possibility of an isosceles right triangle.
An isosceles right triangle is a triangle that is both isosceles and a right triangle. It has two sides of equal length and one right angle. The other two angles are each 45 degrees.
Step 4:: Conclude that the statement is false.
Isosceles triangles can indeed be right triangles, which contradicts the statement.
Final Answer
Isosceles triangles can be right triangles.
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