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Triangles — MATHS STD 6 — Question

ICSE BoardEnglish MediumSTD 6MATHSTriangles4 Marks
Question
We need to have atleast three parameters to construct a triangle. But still there are certain limitations. The angle sum property of a triangle and the sum of any two sides of a triangle being always greater than the third side, play an important role in judging whether a triangle can be constructed or not.
Q.1. If the lengths of two sides of a triangle are 14 cm and 18 cm, then the length of the third side can be :
(a) 32 cm$\quad$(b) 5 cm$\quad$(c) 4 cm$\quad$(d) 3 cm
Q.2. In which of the following cases is the construction of $\triangle ABC$ possible?
(a) $AB =3 cm, BC =5 cm, AC =8 cm$
(b) $AB =4 cm, BC =5 cm, AC =10 cm$
(c) $AB =5 cm, BC =6 cm, AC =7 cm$
(d) None of these
Q.3. In which of the following cases is the construction of $\triangle ABC$ possible?
(a) $\angle A =50^{\circ}, \angle B =60^{\circ}, \angle C =80^{\circ}$
(b) $\angle A =40^{\circ}, \angle B =50^{\circ}, \angle C =60^{\circ}$
(c) $\angle A =55^{\circ}, \angle B =55^{\circ}, \angle C =55^{\circ}$
(d) $\angle A =35^{\circ}, \angle B =45^{\circ}, \angle C =100^{\circ}$
Q.4. In which of the following cases is the construction of $\triangle ABC$ possible?
(a) $AB =5 cm, BC =6 cm, \angle C =40^{\circ}$
(b) $AB =6 cm, BC =8 cm, \angle B =50^{\circ}$
(c) $AB =4 cm, BC =7 cm, \angle A =60^{\circ}$
(d) None of these
✓

Answer

1. (B) 5 cm,
2. (C) $AB =5 cm, BC =6 cm, AC =7 cm$,
3. (D) $\angle A =35^{\circ}, \angle B =45^{\circ}, \angle C =100^{\circ}$,
4. (B) $AB =6 cm, BC =8 cm, \angle B =50^{\circ}$

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