Knowledge Trivia Stuff

An obtuse triangle is any triangle that has an obtuse angle. A scalene triangle can be acute-angled or obtuse-angled or right-angled.

Types Of Triangles

In an isosceles triangle two sides are the same length.

Is a scalene triangle always obtuse. Most triangles drawn at random would be scalene. Hence if one angle of the triangle is obtuse then the other two angles with always be acute. In Euclidian geometry a scalene triangle can be obtuse right or acute.

An acute triangle or acute-angled triangle is a triangle with three acute angles less than 90. Similarly an acute triangle can never be obtuse. You might find this video helpful.

An acute angle is one that measures less than 90 degrees. An obtuse triangle or obtuse-angled triangle is a triangle with one obtuse angle greater than 90 and two acute angles. Acute and obtuse triangles are the two.

When none of the sides of a triangle have equal lengths it is referred to as scalene as depicted in an obtuse triangle one of the angles of the triangle is greater than 90. Hence a triangle with vertices a b and c is typically denoted as δabc. In the above triangle A B C 180 because of the Angle Sum Property Since A 120 therefore B C 60.

Interior angles are all different. The incenter is the intersection of the three-angle bisectors. A right angle triangle has one angle that is 90 degrees.

A triangle is obtuse if it has one angle bigger than 90. Click to see full answer. A 3 b 5 c 7 Area.

Answered 3 years ago Author has 601 answers and 5993K answer views A triangle that has an obtuse angle greater than 90 degrees can never be an acute triangle all angles less than 90 degrees. It is possible for an acute triangle to also be scalene isosceles or equilateral. Since A is 120 degrees the sum of B and C will be less than 90 degrees.

An isosceles triangle may be right obtuse or acute see below. An equilateral triangle has three sides of equal length and three equal angles. P 15.

Since a triangles angles must sum to 180 in Euclidean geometry no Euclidean triangle can have more than one obtuse angle. A scalene triangle has no sides of equal length and no equal angles. Similarly an obtuse triangle can be either scalene.

A scalene triangle is a triangle with all three sides different in lengths and all three angles different in measurement. The product of the inradius and semiperimeter half the perimeter of a triangle. It is possible for a right triangle to also be scalene or isosceles.

The converse of this is also true - If all three angles are different then the triangle is scalene and all the sides are different lengths. The angles in a scalene triangle can be acute right or obtuse with the sum of the interior angles always sums to 180. The interior angles of a scalene triangle are always all different.

An obtuse triangle has one angle measuring more than 90º but less than 180º an obtuse angle. All triangles have an incenter and it always lies inside the triangle. An equilateral triangle is always equiangular see below.

A triangle is scalene if its three sides have all different lenghts or equivalently if its three angles have all different values. In a scalene triangle none of the sides are the same length. Show all questions A scalene triangle is _____ an acute triangle.

An obtuse triangle has one angle larger than 90 degrees. An acute triangle has all angles measuring less than 90º. Always sometimes and never on triangles Quiz.

An obtuse angle is one that measures greater than 90 degrees. An isosceles triangle has two sides of equal length and two equal angles. T 649 5 51905284 Perimeter.

A scalene triangle may be right obtuse or acute see below.