Mathematics Class 6 NCERT Solutions: Chapter 5 Understanding Elementary Shapes Exercise 5.6 – Part 1
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Q.1 Name the types of following triangles:
(a) Triangle with lengths of sides, and.
Answer: Scalene triangle
(b) With cm, cm and cm.
Answer: Scalene triangle
(c) Such that.
Answer: Equilateral triangle
(d)
Answer: Right-angled triangle
(e)
Answer: Isosceles right-angled triangle
(f)
Answer: Acute-angled triangle
Q.2 Match the following:
Measure of Triangle | Types of Triangle | ||
(i) | 3 sides of equal length | (a) | Scalene |
(ii) | 2 sides of equal length | (b) | Isosceles right angle |
(iii) | All sides are of different length | (c) | Obtuse angle |
(iv) | 3 acute angles | (d) | Right angle |
(v) | 1 right angle | (e) | Equilateral |
(vi) | 1 obtuse angle | (f ) | Acute angle |
(vii) | 1 right angle with two sides of equal length | (g) | Isosceles |
Answer:
Measure of Triangle | Types of Triangle | ||
(i) | 3 sides of equal length | (e) | Equilateral |
(ii) | 2 sides of equal length | (g) | Isosceles |
(iii) | All sides are of different length | (a) | Scalene |
(iv) | 3 acute angles | (f) | Acute angle |
(v) | 1 right angle | (d) | Right angle |
(vi) | 1 obtuse angle | (c) | Obtuse angle |
(vii) | 1 right angle with two sides of equal length | (b) | Isosceles right angle |
Q.3 Name each of the following triangles in two different ways: (You may judge the nature of angle by observation).
(a)
Answer: Acute angled triangle and Isosceles triangle
(b)
Answer: Right-angled triangle and scalene triangle
(c)
Answer: Obtuse-angled triangle and Isosceles triangle
(d)
Answer: Right-angled triangle and Isosceles triangle
(e)
Answer: Equilateral triangle and acute angled triangle
(f)
Answer: Obtuse-angled triangle and scalene triangle