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Answer :

(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

- 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.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

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