Which of the following is not a property of an acute triangle? a.Which of the following is not an acute triangle? a.A scalene triangle can be acute, right, or obtuse, depending on the measure of its angles. The three sides of a scalene triangle are all different lengths, and the three angles are also all different. Scalene triangle: A scalene triangle is a triangle that has no sides with the same length.An equilateral triangle is always an acute triangle. The three equal sides of an equilateral triangle are called the base of the triangle, and the three angles are all 60 degrees. Equilateral triangle: An equilateral triangle is a triangle that has all three of its sides with the same length.An isosceles triangle can be acute or obtuse, depending on the measure of its angles. The two equal sides are called the base of the triangle, and the third side is called the altitude. Isosceles triangle: An isosceles triangle is a triangle that has two sides with the same length.The other two angles of an obtuse triangle are both acute angles, which means that obtuse triangles are not acute triangles. Obtuse triangle: An obtuse triangle is a triangle that has one of its angles measuring more than 90 degrees.The other two angles of a right triangle are acute angles, which means that right triangles are also acute triangles. This angle is known as the right angle, and it is denoted by a small square symbol. Right triangle: A right triangle is a triangle that has one of its angles measuring exactly 90 degrees.Acute triangle: An acute triangle is a triangle that has all three of its interior angles measuring less than 90 degrees.Acute angle: An acute angle is an angle that measures less than 90 degrees.Triangle: A triangle is a three-sided polygon with three straight sides.These triangles are known for their sharp, pointed appearance, and they have a number of important properties and characteristics that make them unique among the different types of triangles. In other words, all three angles of an acute triangle are acute angles. On the other hand, in a triangle where a 2 + b 2 > c 2, if side c is also the longest side, the triangle is an acute triangle.Acute triangles are a type of triangle that have all three of their interior angles measuring less than 90 degrees. When the lengths of the sides of a triangle are known, the Pythagorean Theorem can be used to determine whether or not the triangle is an acute triangle.įor a right triangle with a hypotenuse of length c and leg lengths a and b, the Pythagorean Theorem states: Using the Pythagorean Theorem to find acute triangles The orthocenter for an acute triangle is located inside of the triangle, as shown in the figure below where O is the orthocenter of triangle ABC. The orthocenter is the point where all three altitudes of the triangle intersect.In the triangle above, since DF = 10 is the longest side of the triangle, the angle opposite DF, ∠E, must be the greatest angle in the triangle. Conversely, the longer the side the greater the measure of the opposing angle. The greater the measure of an angle opposite a side, the longer the side. The side opposite the largest angle of a triangle is the longest side of the triangle.
Whenever a triangle is classified as acute, all of its interior angles have a measure between 0 and 90 degrees.This yield sign is in the shape of an acute triangle.
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