![]() ![]() The side length a is equal to the square root of the quantity height h squared plus one-half of base b squared. Use the following formula also derived from the Pythagorean theorem to solve the length of side a: The base length b is equal to 2 times the square root of quantity leg a squared minus the height h squared. Use the following formula derived from the Pythagorean theorem to solve the length of the base side: Given the height, or altitude, of an isosceles triangle and the length of one of the sides or the base, it’s possible to calculate the length of the other sides. How to Calculate Edge Lengths of an Isosceles Triangle We have a special right triangle calculator to calculate this type of triangle. Note, this means that any reference made to side length a applies to either of the identical side lengths as they are equal, and any reference made to base angle α applies to either of the base angles as they are also identical. When references are made to the angles of a triangle, they are most commonly referring to the interior angles.īecause the side lengths opposite the base angles are of equal length, the base angles are also identical. The two interior angles adjacent to the base are called the base angles, while the interior angle opposite the base is called the vertex angle. The equilateral triangle, for example, is considered a special case of the isosceles triangle. However, sometimes they are referred to as having at least two sides of equal length. Isosceles triangles are typically considered to have exactly two sides of equal length. The third side is often referred to as the base. ![]() Once you have this information, you can use the Law of Cosines to calculate the obtuse angle.An isosceles triangle is a triangle that has two sides of equal length. To find the obtuse angle of an isosceles triangle, you will need to know the length of the two equal sides and the length of the long side. How do you find the obtuse angle of an isosceles triangle? An obtuse triangle can also be described as a triangle with one acute angle and two obtuse angles. The word "isosceles" comes from the Greek prefix "iso-", which means "equal", and the word "skelos", which means "leg".Īn obtuse triangle is a triangle with one obtuse angle, or an angle greater than 90 degrees. In geometry, an isosceles triangle is a triangle with two sides of equal length. Now that you know a little bit more about isosceles obtuse triangle, maybe you'll be able to spot one the next time you see one!įAQ What is an isosceles triangle in geometry? These properties include: One obtuse angle, Two sides of equal length, The remaining longer than the others, All angles add up to 180 degrees. * All angles add up to 180 degrees: Just like all other types of triangles, the three angles in an isosceles obtuse triangle will always add up to 180 degrees.Īn isosceles obtuse triangle has several distinct properties that set it apart from other types of triangles. In an isosceles obtuse triangle, the long side will also be the side opposite the obtuse angle. This side is known as the "long" side or the "base" side. * The remaining side is longer than the other two: In addition to having two equal sides, all isosceles triangles also have a third side that's longer than the other two. If two sides are equal in length, then you're dealing with an isosceles triangle. In fact, this is how you can tell an isosceles obtuse triangle apart from a regular obtuse triangle-by looking at the lengths of the sides. * Two sides of equal length: All isosceles triangles have at least two sides of equal length, and isosceles obtuse triangles are no different. This is what makes them obtuse triangles. * One obtuse angle: As we mentioned before, all isosceles obtuse triangles have one angle greater than 90 degrees. Keep reading to learn more about the properties of isosceles obtuse triangles and how to identify them.Īn isosceles obtuse triangle has several distinct properties that set it apart from other types of triangles. An isosceles obtuse triangle, then, is a triangle with one obtuse angle and two sides of equal length. You've probably heard of isosceles triangles before, but what about isosceles obtuse triangles? In geometry, an obtuse triangle is a triangle with one obtuse angle, or an angle greater than 90 degrees.
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