Can a triangle have : two acute angles?
Question types
Triangles question types
59 questions across 8 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
59
Questions
8
Question groups
5
Question types
01
[1 Mark Question Answer]
21 Q→02[2 Mark Question Answer]
9 Q→03[3 marks sum]
4 Q→04[4 marks sum]
2 Q→05Fill in the blanks.
5 Q→06TRUE / FALSE
5 Q→07[5 marks sum]
1 Q→08MCQ
12 Q→Sample Questions
Triangles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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Can a triangle have : two right angles?
Can a triangle have : two obtuse angles?
Can a triangle have : each angle greater than $60^{\circ} ?$
View full solution →Can a triangle have : each angle less than $60^{\circ} ?$
View full solution →In the given figure, state whether the given triangle is acute-angled, right-angled or obtuse-angled :
In the given figure, state whether the given triangle is acute-angled, right-angled or obtuse-angled :
In the given figure, state whether the given triangle is acute-angled, right-angled or obtuse-angled :
In the given figure, state whether the given triangle is acute-angled, right-angled or obtuse-angled :
In the given figure, state whether the given triangle is equilateral, isosceles or scalene :
One of the angles of a triangle is $106^{\circ}$ and the other two angles are equal. Find each of the equal angles.
View full solution →One of the acute angles of a right triangle is $36^{\circ}$. Find the other acute angle.
View full solution →The acute angles of a right triangle are in the ratio $1: 2$. Find the angles of the triangle.
View full solution →The angles of a triangle are in the ratio $2: 3: 5$. Find the measure of each angle of the triangle.
View full solution →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
View full solution →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
Each of the two equal angles of an isosceles triangle is half the third angle. Find the angles of the triangle.
The medians of a triangle are _________ .
All angles of a scalene triangle are _________
A triangle has _________ vertices and _________ sides.
The sum of the angles of a triangle is _________
The sum of any two sides of a triangle is _________ the third side.
In a right triangle, the sum of the two acute angles is $90^{\circ}$.
View full solution →The sum of any two angles of a triangle is greater than the third angle.
A triangle can have two right angles.
A triangle can have two acute angles.
A triangle can have two obtuse angles.
In the given figure, find $\angle A +\angle B +\angle C +$ $\angle D +\angle E +\angle F$.
View full solution →A triangle having all sides of different lengths is called
- Aan isosceles triangle
- ✓a scalene triangle
- Can equilateral triangle
- Da right triangle
Answer: B.
View full solution →Two angles of a triangle are $25^{\circ}$ and $30^{\circ}$ respectively. The third angle is
- A$35^{\circ}$
- B$45^{\circ}$
- C$65^{\circ}$
- ✓$125^{\circ}$
Answer: D.
View full solution →One of the base angles of an isosceles triangle is $50^{\circ}$. The vertical angle is
- A$50^{\circ}$
- B$65^{\circ}$
- ✓$80^{\circ}$
- D$25^{\circ}$
Answer: C.
View full solution →Each angle of an equilateral triangle measures
- A$30^{\circ}$
- B$45^{\circ}$
- C$50^{\circ}$
- ✓$60^{\circ}$
Answer: D.
View full solution →The sum of two angles of a triangle is $60^{\circ}$. The third angle is
- A$30^{\circ}$
- B$60^{\circ}$
- C$90^{\circ}$
- ✓$120^{\circ}$
Answer: D.
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