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(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

Answer :

(a) Yes, we can make an equilateral triangle with 3 matchsticks.

(b) No, we cannot make a triangle with 4 matchsticks.

(c) Yes, we can make an isosceles triangle with five matchsticks.

(d) Yes, we can make an equilateral triangle with 6 matchsticks.

- Q.1 Name the types of following triangles: (a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm. (b) \(\triangle \) ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm. (c) \(\triangle \)PQR such that PQ = QR = PR = 5 cm. (d) \(\triangle \)DEF with \(\angle \)D = 90° (e) \(\triangle \)XYZ with \(\angle \)Y = 90° and XY = YZ. (f) \(\triangle \)LMN with \(\angle \)L = 30°, ?M = 70° and ?N = 80°.
- Q.2 Match the following: Measures of Triangle Type of Triangle (i) 3 sides of equal length \(\rightarrow \) (a) Scalene (ii) 2 sides of equal length \(\rightarrow \) (b) Isosceles right angled (iii) All sides are of different \(\rightarrow \) (c) Obtuse angled (iv) 3 acute angles \(\rightarrow \) (d) Right angled (v) 1 right angle \(\rightarrow \) (e) Equilateral (vi) 1 obtuse angle \(\rightarrow \) (f) Acute angled (vii) 1 right angle with two sides of equal length \(\rightarrow \) (g) Isosceles
- Q.3 Name each of the following triangles in two different ways: (you may judge the nature of the angle by observation)

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