Answer:
Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles
Explanation:
In any triangle, there are at least two acute angles
The types of triangles according to their angles are:
- Acute-angled triangle ⇒ 3 angles are acute
- Right-angled triangle ⇒ 2 acute angles and 1 right angle
- Obtuse-angled triangle ⇒ 2 acute angles and 1 obtuse angle
The types of triangles according to their sides are:
- Equilateral triangle ⇒ 3 equal sides
- Isosceles triangle ⇒ 2 equal sides
- Scalene triangle ⇒ 3 different side
You can classify the type of the triangle according to its angle using the measuring of its sides.
If a triangle has sides length a, b, c where c is the longest side
∵ a² + b² > c²
∴ The triangle is an acute-angled triangle
∵ a² + b² = c²
∴ The triangle is a right-angled triangle
∵ a² + b² < c²
∴ The triangle is an obtuse-angled triangle
You can classify the type of the triangle according to its sides using the measuring of its sides.
If a triangle has sides lengths a, b, c
∵ a, b, c have unequal lengths
∴ The triangle is scalene
∵ a and b or a and c or b and c have equal lengths
∴ The triangle is Isosceles
∵ a, b, c have equal lengths
∴ The triangle is equilateral
Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles