MCQs on Triangle
1. The sum of the interior angles of a triangle is:- : āĻāĻāĻž āϤā§ā§°āĻŋāĻā§āĻā§° āĻ āύā§āϤ⧰ā§āĻā§āĻā§āϤ āĻā§āĻŖāϏāĻŽā§āĻšā§° āϝā§āĻāĻĢāϞ āĻāĻŋāĻŽāĻžāύ ?
A) 90° | B) 180° | C) 270° | D) 360°
Ans: B) 180°
Explanation: The sum of the three interior angles of any triangle is always 180 degrees. : āĻŦā§āϝāĻžāĻā§āϝāĻž: āϝāĻŋāĻā§āύ⧠āϤā§ā§°āĻŋāĻā§āĻā§° āϤāĻŋāύāĻŋāĻāĻž āĻ āύā§āϤ⧰ā§āĻā§āĻā§āϤ āĻā§āĻŖā§° āϝā§āĻāĻĢāϞ āϏāĻĻāĻžāϝāĻŧ ā§§ā§Žā§Ļ° āĻšāϝāĻŧāĨ¤
2. A triangle with all three sides equal is called:- : āϝāĻŋ āϤā§ā§°āĻŋāĻā§āĻā§° āϤāĻŋāύāĻŋāĻāĻāĻž āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ, āϤāĻžāĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
A) Isosceles triangle | B) Right triangle | C) Equilateral triangle | D) Scalene triangle
Ans: C) Equilateral triangle
Explanation: An equilateral triangle has all three sides equal and each angle is 60°. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϏāĻŽāĻŦāĻžāĻšā§ āϤā§ā§°āĻŋāĻā§āĻāϤ āϤāĻŋāύāĻŋāĻāĻāĻž āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ āĻšāϝāĻŧ āĻā§°ā§ āĻĒā§ā§°āϤāĻŋāĻā§ āĻā§āĻŖ ā§Ŧā§Ļ° āĻšāϝāĻŧāĨ¤
3. A triangle having one angle equal to 90° is called:- : āϝāĻŋ āϤā§ā§°āĻŋāĻā§āĻāϤ āĻāĻāĻž āĻā§āĻŖ ⧝ā§Ļ° āĻšāϝāĻŧ, āϤāĻžāĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
A) Acute triangle | B) Right-angled triangle | C) Obtuse triangle | D) Isosceles triangle
Ans: B) Right-angled triangle
Explanation: A triangle with one angle equal to 90° is called a right-angled triangle. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϝāĻŋ āϤā§ā§°āĻŋāĻā§āĻāϤ āĻāĻāĻž āĻā§āĻŖ ⧝ā§Ļ° āĻšāϝāĻŧ āϤāĻžāĻ āϏāĻŽāĻā§āĻŖā§ āϤā§ā§°āĻŋāĻā§āĻ āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤
4. A triangle with two equal sides is called:- : āϝāĻŋ āϤā§ā§°āĻŋāĻā§āĻā§° āĻĻā§āĻāĻž āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ, āϤāĻžāĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
A) Scalene triangle | B) Equilateral triangle | C) Isosceles triangle | D) Right triangle
Ans: C) Isosceles triangle
Explanation: An isosceles triangle has two sides equal and the angles opposite those sides are also equal. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āϤā§ā§°āĻŋāĻā§āĻāϤ āĻĻā§āĻāĻž āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ āĻšāϝāĻŧ āĻā§°ā§ āϏā§āĻ āĻŦāĻžāĻšā§āϏāĻŽā§āĻšā§° āĻŦāĻŋāĻĒā§°ā§āϤ āĻā§āĻŖā§ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤
5. The perimeter of a triangle is:- : āĻāĻāĻž āϤā§ā§°āĻŋāĻā§āĻā§° āĻĒā§°āĻŋāϏā§āĻŽāĻž āĻāĻŋ ?
A) Sum of its angles | B) Sum of its three sides | C) Product of its sides | D) Half of its sides
Ans: B) Sum of its three sides
Explanation: The perimeter of a triangle is the sum of the lengths of its three sides. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϤā§ā§°āĻŋāĻā§āĻā§° āĻĒā§°āĻŋāϏā§āĻŽāĻž āĻšā§āĻā§ āϤāĻžā§° āϤāĻŋāύāĻŋāĻāĻž āĻŦāĻžāĻšā§ā§° āĻĻā§ā§°ā§āĻā§āϝ⧰ āϝā§āĻāĻĢāϞāĨ¤
6. The area of a triangle is given by:- : āϤā§ā§°āĻŋāĻā§āĻā§° āĻā§āώā§āϤā§ā§°āĻĢāϞ⧰ āϏā§āϤā§āϰ āĻāĻŋ ?
A) ab | B) ½ × base × height | C) base + height | D) base × height
Ans: B) ½ × base × height
Explanation: The area of a triangle is half of the product of its base and height. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϤā§ā§°āĻŋāĻā§āĻā§° āĻā§āώā§āϤā§ā§°āĻĢāϞ āĻšā§āĻā§ āĻāĻŋāϤā§āϤāĻŋ āĻā§°ā§ āĻāĻā§āĻāϤāĻžā§° āĻā§āĻŖāĻĢāϞ⧰ āĻāϧāĻž āĻ āĻāĻļāĨ¤
7. A triangle having all sides of different lengths is called:- : āϝāĻŋ āϤā§ā§°āĻŋāĻā§āĻā§° āϏāĻāϞ⧠āĻŦāĻžāĻšā§ āĻāĻŋāύā§āύ āĻĻā§ā§°ā§āĻā§āϝ⧰ āĻšāϝāĻŧ, āϤāĻžāĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
A) Equilateral triangle | B) Isosceles triangle | C) Scalene triangle | D) Right triangle
Ans: C) Scalene triangle
Explanation: A scalene triangle has all three sides of different lengths and all angles are different.
āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻŦāĻŋāώāĻŽāĻŦāĻžāĻšā§ āϤā§ā§°āĻŋāĻā§āĻāϤ āϤāĻŋāύāĻŋāĻāĻāĻž āĻŦāĻžāĻšā§ā§° āĻĻā§ā§°ā§āĻā§āϝ āĻāĻŋāύā§āύ āĻšāϝāĻŧ āĻā§°ā§ āϏāĻāϞ⧠āĻā§āĻŖā§ āĻāĻŋāύā§āύ āĻšāϝāĻŧāĨ¤
8. If one angle of a triangle is greater than 90°, the triangle is called:- : āϝāĻĻāĻŋ āϤā§ā§°āĻŋāĻā§āĻā§° āĻāĻāĻž āĻā§āĻŖ ⧝ā§Ļ° āϤāĻā§ āĻŦā§āĻāĻŋ āĻšāϝāĻŧ, āϤā§āύā§āϤ⧠āϏā§āĻ āϤā§ā§°āĻŋāĻā§āĻāĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
A) Acute triangle | B) Right triangle | C) Obtuse triangle | D) Isosceles triangle
Ans: C) Obtuse triangle
Explanation: A triangle with one angle greater than 90° is called an obtuse triangle. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϝāĻŋ āϤā§ā§°āĻŋāĻā§āĻāϤ āĻāĻāĻž āĻā§āĻŖ ⧝ā§Ļ° āϤāĻā§ āĻŦā§āĻāĻŋ āĻšāϝāĻŧ āϤāĻžāĻ āϏā§āĻĨā§āϞāĻā§āĻŖā§ āϤā§ā§°āĻŋāĻā§āĻ āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤
9. The longest side of a right-angled triangle is called:- : āϏāĻŽāĻā§āĻŖā§ āϤā§ā§°āĻŋāĻā§āĻā§° āĻāĻāĻžāĻāϤāĻā§ āĻĻā§āĻāϞ āĻŦāĻžāĻšā§āĻ āĻāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧ ?
A) Base | B) Height | C) Hypotenuse | D) Median
Ans: C) Hypotenuse
Explanation: In a right-angled triangle, the side opposite the 90° angle is the hypotenuse, which is the longest side. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϏāĻŽāĻā§āĻŖā§ āϤā§ā§°āĻŋāĻā§āĻāϤ ⧝ā§Ļ° āĻā§āĻŖā§° āĻŦāĻŋāĻĒā§°ā§āϤ āĻŦāĻžāĻšā§āĻ āĻ āϧāĻŋāĻā§°ā§āĻŖ (Hypotenuse) āĻŦā§āϞāĻž āĻšāϝāĻŧ āĻā§°ā§ āĻ āĻāĻāĻžāĻāϤāĻā§ āĻĻā§āĻāϞ āĻŦāĻžāĻšā§āĨ¤
10. In an equilateral triangle, each angle measures:- :āϏāĻŽāĻŦāĻžāĻšā§ āϤā§ā§°āĻŋāĻā§āĻāϤ āĻĒā§ā§°āϤāĻŋāĻā§ āĻā§āĻŖ āĻāĻŋāĻŽāĻžāύ āĻšāϝāĻŧ ?
A) 30° | B) 45° | C) 60° | D) 90°
Ans: C) 60°
Explanation: In an equilateral triangle all sides are equal, so each angle measures 60°. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϏāĻŽāĻŦāĻžāĻšā§ āϤā§ā§°āĻŋāĻā§āĻāϤ āϤāĻŋāύāĻŋāĻāĻāĻž āĻŦāĻžāĻšā§ āϏāĻŽāĻžāύ āĻšā§ā§ąāĻž āĻŦāĻžāĻŦā§ āĻĒā§ā§°āϤāĻŋāĻā§ āĻā§āĻŖ ā§Ŧā§Ļ° āĻšāϝāĻŧāĨ¤