GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6

Gujarat BoardĀ GSEB Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 Textbook Questions and Answers.

Gujarat Board Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6

Question 1.
Name the type of following triangles:
(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.
(b) āˆ†ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.
(c) āˆ†PQR such that PQ = QR = PR = 5 cm.
(d) āˆ†DEF with m\(\angle D \) 90Ā°
(e) āˆ†XYZ with m\(\angle Y \) = 90Ā° and XY = YZ.
(f) āˆ†LMN with m\(\angle L \) = 30Ā°, m\(\angle M \) = 70Ā° and m\(\angle N \) = 80Ā°.
Solution:
(a) Since, 7 cm ā‰  8 cm ā‰  9 cm
i.e. all the sides are unequal The triangle is a scalene triangle.

(b) Since, AB ā‰  BC ā‰  AC
i.e. all the sides are unequal.
āˆ†ABC is a scalene triangle.

(c) Since, PQ ā‰  QR ā‰  PR
i.e. all the sides are equal
āˆ†PQR is an equilateral triangle.

(d) Since m\(\angle D \) = 90Ā°
āˆ†DEF is a right angled triangle.

(e) Since, m\(\angle Y \) = 90Ā° and XY = YZ
i.e. two sides of the triangle are equal.
āˆ†XYZ is an isosceles right triangle.

(f) Since m\(\angle L \) = 30Ā°, m\(\angle M \) = 70Ā°, m\(\angle N \) = 80Ā°
i.e. all the angles of āˆ†LMN are acute.
āˆ†LMN is an acute angled triangle.

GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6

Question 2.
Mach the following:
GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 img-1
Solution:
GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 img-2

GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6

Question 3.
Name each of the following triangles in two different ways: (you may judge the nature of the angle by observation)
GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 img-3
Solution:
GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 img-4

GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6

Question 4.
Try to construct triangles using matchsticks. Some are shown here. Can you make a triangle with
GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 img-5
(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.
Solution:
(a) Yes, we can make an equilateral triangle with 3 matchsticks as shown in the figure.
GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 img-6

(b) No, we cannot make a triangle, using 4 matchsticks. [ The sum of any two sides must be greater than the third, which is not possible here.]

(c) Yes, an isosceles triangle can be made using 5 matchsticks, as shown in the figure.
GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 img-7

(d) Yes, an equilateral triangle can be made using 6 matchsticks as shown in the figure:
GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 img-8

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