Understanding elementary shapes Ex-5.6

NCERT solutions for Maths Understanding elementary 

NCERT Solutions for Class 6 Maths Understanding elementary

Class –VI

Mathematics

(Ex. 5.6)

Question 1.Name the types of following triangles:

(a)Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

(b)$\Delta {\text{ABC}}$ with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

(c)$\Delta$PQR such that PQ = QR = PR = 5 cm.

(d)$\Delta$DEF with $m\angle$D = ${90^ \circ }$

(e)$\Delta$XYZ with $m\angle$Y = ${90^ \circ }$ and XY = YZ

(f)$\Delta$LMN with $m\angle$L = ${30^ \circ },$$m\angle$M = ${70^ \circ }$ and $m\angle$N = ${80^ \circ }.$

Answer:

(a) Scalene triangle

(b) Scalene triangle

(c) Equilateral triangle

(d) Right-angled triangle

(e) Isosceles right-angled triangle

(f) Acute-angled triangle

NCERT Solutions for Class 6 Maths Exercise 5.6

Question 2.Match the following:

Answer: (i) $\to$ (e), (ii) $\to$ (g), (iii) $\to$ (a), (iv) $\to$ (f), (v) $\to$ (d), (vi) $\to$ (c), (vii) $\to$ (b)

Question 3.Name each of the following triangles in two different ways: (You may judge the nature of angle by observation)

Answer:

(a) Acute angled triangle and Isosceles triangle

(b) Right-angled triangle and Scalene triangle

(c) Obtuse-angled triangle and Isosceles triangle

(d) Right-angled triangle and Isosceles triangle

(e) Equilateral triangle and acute angled triangle

(f) Obtuse-angled triangle and scalene triangle

NCERT Solutions for Class 6 Maths Exercise 5.6

Question 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)

If you cannot make a triangle, think of reasons for it.

Answer:

(a) 3 matchsticks

This is an acute angle triangle and it is possible with 3 matchsticks to make a triangle because sum of two sides is greater than third side.

(b) 4 matchsticks

This is a square, hence with four matchsticks we cannot make triangle.

(c) 5 matchsticks

This is an acute angle triangle and it is possible to make triangle with five matchsticks, in this case sum of two sides is greater than third side.

(d) 6 matchsticks

This is an acute angle triangle and it is possible to make a triangle with the help of 6 matchsticks because sum of two sides is greater than third side.