NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.6 help students understand the method followed in finding the types of triangles. Scalene triangles, isosceles triangles, equilateral triangles, acute-angled, right-angled and obtuse-angled triangles are the various types which are explained here. The students can refer to the NCERT Solutions Class 6 Maths Chapter 5 and prepare for the exams well by knowing the exact answers that could help them score full marks.
NCERT Solutions for Class 6 Chapter 5 Understanding Elementary Shapes Exercise 5.6
Access NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.6
1. Name the types of following triangles.
(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.
(b) ∆ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.
(c) ∆PQR, such that PQ = QR = PR = 5 cm.
(d) ∆DEF with ∠D = 90°
(e) ∆XYZ with ∠Y = 90° and XY = YZ.
(f) ∆LMN with ∠L = 30°, ∠M = 70° and ∠N = 80°.
Solutions:
(a) Scalene triangle
(b) Scalene triangle
(c) Equilateral triangle
(d) Right-angled triangle
(e) Right-angled isosceles triangle
(f) Acute-angled triangle
2. Match the following.
Measures of Triangle Type of Triangle
(i) 3 sides of equal length (a) Scalene
(ii) 2 sides of equal length (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 two sides of equal length (g) Isosceles
Solutions:
(i) Equilateral triangle
(ii) Isosceles triangle
(iii) Scalene triangle
(iv) Acute-angled triangle
(v) Right-angled triangle
(vi) Obtuse-angled triangle
(vii) Isosceles right-angled triangle
3. Name each of the following triangles in two different ways. (You may judge the nature of the angle by observation.)
Solutions:
(i) Acute-angled and isosceles triangle
(ii) Right-angled and scalene triangle
(iii) Obtuse-angled and isosceles triangle
(iv) Right-angled and isosceles triangle
(v) Equilateral and acute-angled triangle
(vi) Obtuse-angled and scalene triangle
4. Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with
(a) 3 matchsticks?
(b) 4 matchsticks?
(c) 5 matchsticks?
(d) 6 matchsticks?
(Remember, you have to use all the available matchsticks in each case.)
Name the type of triangle in each case. If you cannot make a triangle, think of reasons for it.
Solutions:
(a) By using three match sticks, we may make a triangle, as shown below.
The above triangle is an equilateral triangle.
(b) By using 4 match sticks, we cannot make a triangle since we know that sum of the lengths of any two sides of a triangle is always greater than the third side.
(c) By using 5 match sticks, we may make a triangle as shown below.
The above triangle is an isosceles triangle.
(d) By using 6 match sticks, we may make a triangle, as shown below.
The above triangle is an equilateral triangle.
Also, explore –
NCERT Solutions for Class 6 Maths Chapter 5
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