The types of triangles which can always be used as a counterexample to the statement ""all angles in a triangle are acute"" are:
A. equilateral
C. Right
Given:
A triangle with three equal sides and three equal angles is said to be equilateral. Since an equilateral triangle has angles that are each 60 degrees, it is sometimes referred to as an equiangular triangle. Given that the angles and sides of an equilateral triangle are equal, it is regarded as a regular polygon or regular triangle.
hence equilateral triangle is true to the given statement.
An obtuse triangle has angles measuring greater than 180° , hence obtuse angle is not true to the given statement.
Right triangle : The hypotenuse, along with the two legs, make up a right triangle. The hypotenuse, the longest side of the right triangle and the side opposite the right angle, is where the two legs of a right triangle come together at a 90° angle. There are a few unique varieties of right triangles, including the 45°-45° and the 30°-60° varieties.
hence the statement is true to the right triangle.
we have all sides unequal in scalene triangle, hence the statement is not true to the scalene triangle.
Hence we get the required answer.
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