Question

When measuring the sides, triangles can be classified as acute, scalene and isoceles

Answer 1

Answer:

Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles

Step-by-step 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