The closed shape which is being covered by three sides is known as triangle.
Classification based on sides :
Based on the length of sides, we can classify triangles, those are
Equilateral triangle : If all three sides are having equal lengths, then it is equilateral triangle. | |
Scalene triangle : If all sides are having different measures, then it is scalene triangle. | |
Isosceles triangle : If only two sides of the triangle is equal, then it is isosceles triangle. |
Acute triangle : If all interior angles of the triangle, then it is acute triangle. | |
Obtuse triangle : If one the angle of triangle is obtuse, then it is obtuse triangle. | |
Right triangle : If one the angle of triangle is right angle, then it is right triangle. |
Classify each triangle as equilateral,
isosceles, or scalene.
Problem 1 :
Solution :
The lengths of all the three sides are equal. So, the given triangle is an equilateral triangle.
Problem 2 :
Solution :
The lengths of all the three sides are different. So, the given triangle is a scalene triangle.
Problem 3 :
Solution :
The lengths of two of the sides are equal. So, the given triangle is an isosceles triangle.
Problem 4 :
Solution :
The lengths of two of the sides are equal. So, the given triangle is an isosceles triangle.
Classify each triangle as acute, obtuse, right, or equiangular.
Problem 5 :
Solution :
i) All the given three angles are different .
ii) All the three angles are less than 90˚.
So, the given triangle is a acute triangle.
Problem 6 :
Solution :
i) All the given three angles are different.
ii) One of the angles is 90˚.
So, the given triangle is a right triangle.
Problem 7 :
Solution :
i) All the given three angles are different.
i) One of the angles is greater than 90˚.
So, the given triangle is a obtuse triangle.
Problem 8 :
Solution :
i) All the given three angles are equal.
ii) All the three angles are less than 90˚.
So, the given triangle is a equilateral and acute triangle.
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