MATH CALCULATOR
Obtuse Triangle Calculator
Calculate the properties of obtuse triangles with ease.
What is the Obtuse Triangle Calculator & How does it work?
An obtuse triangle is a triangle that has one angle greater than 90 degrees. The sum of the angles in any triangle is always 180 degrees, so if one angle is obtuse, the other two must be acute (less than 90 degrees).
To determine if a triangle is obtuse, you can use the Pythagorean theorem and its extension. For a triangle with sides (a), (b), and (c) (where (c) is the longest side), the triangle is obtuse if:Additionally, the area of an obtuse triangle can be calculated using Heron’s formula if you know all three sides.
To determine if a triangle is obtuse, you can use the Pythagorean theorem and its extension. For a triangle with sides (a), (b), and (c) (where (c) is the longest side), the triangle is obtuse if:
c^2 > a^2 + b^2
c = longest side, a, b = other sides
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Frequently Asked Questions
How do I determine if a triangle is obtuse?
A triangle is obtuse if one of its angles is greater than 90 degrees. You can also use the Pythagorean theorem: for sides a, b, and c (with c as the longest side), if c^2 > a^2 + b^2, then the triangle is obtuse.
What are the properties of an obtuse triangle?
An obtuse triangle has one angle greater than 90 degrees and two acute angles. The sum of all angles is always 180 degrees.
How do I calculate the area of an obtuse triangle?
Use the formula: area = base * height / 2. Identify the base and measure the perpendicular height from the opposite vertex to the base.
Can an obtuse triangle be isosceles?
Yes, an obtuse triangle can be isosceles if it has two equal sides and one angle greater than 90 degrees.
What is the sum of angles in any triangle?
The sum of the angles in any triangle is always 180 degrees.
How do I find the missing side of an obtuse triangle if I know two sides and the included angle?
Use the Law of Cosines: c^2 = a^2 + b^2 – 2ab * cos(C), where C is the included angle.
Can an obtuse triangle be equilateral?
No, an obtuse triangle cannot be equilateral because all angles in an equilateral triangle are 60 degrees, which is not greater than 90 degrees.
Results are for informational purposes only and do not constitute professional advice.