1. How many sides does a triangle have?
a) 2
b) 3
c) 4
d) 5
2. How many medians does a triangle have?
a) 1
b) 2
c) 3
d) 4
3. A median joins a vertex to the _______.
a) Opposite vertex
b) Mid-point of the opposite side
c) Any point on the side
d) Exterior angle
4. How many altitudes can a triangle have?
a) 1
b) 2
c) 3
d) 4
5. In a right-angled triangle, the right angle is always at the _______.
a) Longest side
b) Hypotenuse
c) Vertex opposite to hypotenuse
d) Any vertex
6. The side opposite the right angle is called:
a) Median
b) Altitude
c) Hypotenuse
d) Leg
7. In an equilateral triangle, each angle measures:
a) 30°
b) 45°
c) 60°
d) 90°
8. In an isosceles triangle, the angles opposite the equal sides are:
a) Unequal
b) Always 90°
c) Equal
d) Supplementary
9. The sum of the angles of a triangle is:
a) 90°
b) 120°
c) 180°
d) 360°
10. An exterior angle of a triangle is equal to the sum of its:
a) Adjacent interior angle
b) Interior opposite angles
c) All three angles
d) Base angles
11. If two angles of a triangle are 50° and 60°, the third angle is:
a) 70°
b) 60°
c) 50°
d) 90°
12. A triangle with all sides unequal is called:
a) Equilateral
b) Isosceles
c) Right
d) Scalene
13. A triangle with all angles less than 90° is called:
a) Acute-angled
b) Right-angled
c) Obtuse-angled
d) Scalene
14. A triangle with one angle greater than 90° is called:
a) Acute
b) Right
c) Obtuse
d) Isosceles
15. The sum of any two sides of a triangle is:
a) Less than the third side
b) Equal to the third side
c) Greater than the third side
d) Double the third side
16. If a triangle has sides 2 cm, 3 cm, and 5 cm, can it be formed?
a) Yes
b) No
17. Pythagoras property applies only to which triangle?
a) Scalene
b) Acute
c) Obtuse
d) Right-angled
18. According to Pythagoras property:
a) a² + b² = c²
b) a + b = c
c) 2a = b + c
d) ab = c²
19. In a right triangle, the hypotenuse is always the:
a) Smallest side
b) Middle side
c) Longest side
d) Base
20. If PQ = 10 cm and PR = 24 cm in a right triangle at P, QR = ?
a) 26 cm
b) 20 cm
c) 14 cm
d) 28 cm
21. In triangle ABC, if AC = 5 cm and BC = 12 cm, then AB = ?
a) 12 cm
b) 13 cm
c) 10 cm
d) 7 cm
22. An altitude of a triangle is always:
a) Parallel to the base
b) Perpendicular to the opposite side
c) Equal to the median
d) Longer than hypotenuse
23. Two interior opposite angles of an exterior angle are also known as:
a) Adjacent angles
b) Remote interior angles
c) Equal angles
d) Supplementary angles
24. The difference between any two sides of a triangle is:
a) Greater than the third side
b) Equal to the third side
c) Smaller than the third side
d) Double the third side
25. A triangle with sides 3 cm, 4 cm, 5 cm is:
a) Acute
b) Obtuse
c) Right
d) Scalene but not right
26. A triangle can have at most how many obtuse angles?
a) 1
b) 2
c) 3
d) 0
27. How many exterior angles does a triangle have?
a) 2
b) 3
c) 4
d) 6
28. Base angles in an isosceles triangle are always:
a) Equal
b) Right angles
c) Obtuse
d) Acute only
29. A median always lies inside the triangle. True or False?
a) True
b) False
30. If the angles of a triangle are in the ratio 1 : 2 : 1, the largest angle is:
a) 45°
b) 90°
c) 60°
d) 50°
Answers
1-b
2-c
3-b
4-c
5-c
6-c
7-c
8-c
9-c
10-b
11-a
12-d
13-a
14-c
15-c
16-b
17-d
18-a
19-c
20-a
21-b
22-b
23-b
24-c
25-c
26-a
27-d
28-a
29-a
30-c
1. The sum of the angles of a triangle is always ______.
2. A triangle with all sides equal is called an ______ triangle.
3. The side opposite to the right angle in a right-angled triangle is called the ______.
4. A median joins a vertex to the ______ of the opposite side.
5. According to the Pythagoras property,
(Hypotenuse)² = ______ + ______.
6. A triangle can have two right angles. — True / False
7. In an isosceles triangle, base angles are equal. — True / False
8. The sum of any two sides of a triangle is always greater than the third side. — True / False
9. An altitude of a triangle is always inside the triangle. — True / False
10. A triangle with angles 30°, 60°, and 90° is a right-angled triangle. — True / False
✅ Answer Key
Fill in the Blanks
- 180°
- Equilateral
- Hypotenuse
- Mid-point
- (Leg)² + (Other leg)²
(or) AB² + BC²
True / False
- False – A triangle cannot have two right angles.
- True – Base angles of an isosceles triangle are equal.
- True – This is the triangle inequality property.
- False – In obtuse triangles, an altitude may fall outside.
- True – 30°, 60°, 90° includes a right angle.