In geometry class, you would have surely learnt various shapes. One such shape would be a triangle. Think of a slice of pizza. But how is a triangle formed? It is called a polygon formed by merging three lines called line segments. They intersect with each other and are non-linear. The points at which curves or lines meet are referred to as vertices. The angles are near the vertex.
However, triangles differ in terms of their length, angles and sides. This article talks about the various triangles classifications and focuses on an acute scalene triangle.
Classifications of triangles given below are assessed as per their measure of angles and relative lengths:
As mentioned above, an acute triangle has three acute angles (less than a 90° angle), whereas a scalene triangle has three unequal angles and sides. Following are its properties:
As per the bisector theorem, a triangle’s angle bisector is longer than its altitude in a scalene triangle.
Question 1:Is the above image an acute scalene triangle?
Answer 1: Yes, as the triangle has every angle below 90 degrees (acute angle) with a varied measure of each side.
Question 2: Is the above image an acute scalene triangle?
Answer 2 Yes, as the triangle has every angle below 90 degrees (acute angle) with a varied measure of each side.
Isosceles triangles can also be acute triangles, but how is it different from acute scalene triangles? Again, you must review the characteristics of an isosceles triangle and compare both of them against each other.
The latter has equal angles and lengths (congruent sides), whereas the former forms an angle below 90°.
The internal angles of these triangles vary, so you can think that it is limited to your geometry class. But we would like to break this misconception of yours and would like to take an opportunity to inform you that these triangles are commonly used in modern construction like roof trusses, etc.
So, now you are left with the types of triangles, an acute scalene triangle, its properties, solved questions, and the difference between it and an acute isosceles triangle. You must apply these teachings in your following geometry classes to improve your performance and understanding of this particular subject. Familiarization with this topic is essential, as you can use it in your higher geometry classes and questions that need to be proved.
It is a triangle with three line segments intersecting and each forming an acute angle with all sides unequal, thus having different measures.
You should learn this concept to improve your understanding and earn better grades.
You can identify these triangles or any other triangle using a protractor. You can measure in the following way:
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