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A Look at an Obtuse Scalene Triangle

In geometry, a triangle is an object composed of three connected points. Depending on the angles and sides of a triangle, it can be classified as acute, right, obtuse, or scalene. An obtuse scalene triangle is a specific type of triangle with one angle greater than 90° and no two angles or sides are equal. Let’s take a closer look at this interesting shape.

The Definition of an Obtuse Scalene Triangle

An obtuse scalene triangle is defined by having one angle greater than 90° and none of its sides or angles are equal in measure. This means that all three interior angles will have different measurements that add up to 180°. The length of each side can also vary greatly in size and they cannot be congruent to each other either. Since every side and angle has a different measure, this makes the obtuse scalene triangle an irregular polygon.

How to Identify an Obtuse Scalene Triangle

To identify if you have an obtuse scalene triangle, first determine the interior angles of the triangle and add them together. If the sum total is 180° then you have a valid triangle; however, if any single angle measures more than 90° then you have an obtuse scalene triangle on your hands. It’s important to note that all triangles must have three different angles in order to qualify as a valid polygon; if you only end up with two angles after measuring then it’s not actually a real triangle but rather two line segments consisting of two straight lines connected together at their endpoint.

Finding the Area of an Obtuse Scalene Triangle

It’s possible to find out the area of your obtuse scalene triangle using Heron’s formula which states that “the area A is equal to the square root [√]of s(s-a)(s-b)(s-c) where s=(a+b+c)/2 for any given side lengths (a, b, c). This formula was derived by Heron of Alexandria circa 10 AD and has been used extensively in mathematics ever since as it allows us to calculate area when we know only three side lengths without having to calculate all three interior angles first! Finding out area with this formula can be tricky so make sure you double check your work before submitting it!

Conclusion:

All things considered, the obtuse scalene triangle is one fascinating shape! Its unique properties set it apart from other types of triangles like acute or right triangles which may make it easier or harder depending on what type of math problem you are working on. Remember that Heron's formula can help solve for the area if you know all three side lengths but always double check your work before submitting your answer! Whether you're studying geometry or just curious about shapes in general, learning more about these fascinating figures will help broaden your knowledge base and improve your skillset overall!

FAQ

What is a obtuse triangle in geometry?

An obtuse triangle is a three-sided polygon in which one angle measures more than 90° and none of its sides or angles are equal.

What is scalene triangle explain with diagram?

A scalene triangle is a three-sided polygon in which all three angles and sides have different measurements. A diagram of a scalene triangle would look something like this: /\ / \/ where the slanted lines represent two sides with different lengths, and the angle between them is greater than 90°.

What is scalene triangle short answer?

A scalene triangle is a three-sided polygon in which all three angles and sides have different measurements. No two sides or angles are the same size or shape.
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