Match the following:

Measures of parts

Type of Triangle

(i) 3 sides of equal lengths

(a) Scalene

(ii) 2 sides of equal lengths

(b) Isosceles right-angled

(iii) All sides are of different lengths

(c) Obtuse angled

(iv) 3 acute angles

(d) Right angled

(v) 1 right angle

(e) Equilateral

(vi) 1 obtuse angle

(f) Acute-angled

(vii) 1 right angle with sides of equal lengths

(g) Isosceles




Measures of parts



Type of Triangle



Explanation



(i) 3 sides of equal lengths



(e) Equilateral



Equilateral triangle has all three sides equal. 



(ii) 2 sides of equal lengths



(g) Isosceles



Iscoles triangle has any two sides equal. 



(iii) All sides are of different lengths



(a) Scalene



Scalene triangle has all the three sides different.



(iv) 3 acute angles



(f) Acute-angled



When all the three angles of a triangle are less than 45o, then it is an acute-angled triangle. 



(v) 1 right angle



(d) Right-angled



When any one angle of a triangle is 90o, then it is a right-angled triangle. 



(vi) 1 obtuse angle



(c) Obtuse-angled



When any one angle of a triangle is greater than 90but less than 180o, then it is an obtuse-angled triangle. 



(vii) 1 right angle with sides of equal lengths



(b) Isosceles right-angled



When any two sides of a triangle are equal and one angle of the triangle is 90o, then it is an Isosceles-right-angled triangle. 


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