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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

Answer :

(i) \(\rightarrow \) Equilateral triangle

(ii) \(\rightarrow \) Isosceles triangle

(iii) \(\rightarrow \) Scalene triangle

(iv) \(\rightarrow \) Acute angled triangle

(v) \(\rightarrow \) Right angled triangle

(vi) \(\rightarrow \) Obtuse angled triangle

(vii) \(\rightarrow \) Isosceles right angled 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.3 Name each of the following triangles in two different ways: (you may judge the nature of the angle by observation)
- 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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