Below you will find MCQ Questions of Chapter 6 Triangles Class 10 Maths that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 10 Maths Chapter 6 Triangles with answers
1. In an equilateral triangle ABC, if AD⊥BC,then
(a) 5AB^{2} = 4AD^{2}.
(b) 4AB^{2} = 3AD^{2}.
(c) 3AB^{2} = 4AD^{2}.
(d) 2AB^{2} = 3AD^{2}.
► (c) 3AB^{2} = 4AD^{2}.
2. In a triangle ABC, AC= √180, AB = 6, BC = 12. What is ∠B = ?
(a) 90°
(b) 30°
(c) 45°
(d) 60°
► (a) 90°
3. In right triangled ABC right angled at B, a line DE is drawn through the mid point D of AB and parallel to BC. If AB = 9 cm, BC = 12 cm. AE = ?
(a) 13 cm
(b) 10 cm
(c) 8.5 cm
(d) 7.5 cm
► (d) 7.5 cm
4. If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.
(a) 9 cm
(b) 7 cm
(c) 70 cm
(d) 90 cm
► (b) 7 cm.
5. A semicircle is drawn on AC. Two chords AB and BC of length 8 cm and 6 cm respectively are drawn in the semicircle. What is the measure of the diameter of the circle?
(a) 14 cm.
(b) 10 cm.
(c) 12 cm.
(d) 11 cm.
► (b) 10 cm.
6. Three numbers form a Pythagorean triplet. Two of them are 15 and 17 where 17 is the largest of them. The third number is
(a) 8
(b) 12
(c) 13
(d) 5
► (a) 8
7. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 3 cm, BD = 5 cm, BC = 12.8 cm and DE || BC. Then length of DE (in cm) is
(a) 4.8 cm
(b) 7.6 cm
(c) 19.2 cm
(d) 2.5 cm
► (a) 4.8 cm
8. In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :
(a) 6 cm
(b) 8 cm
(c) 7 cm
(d) 10 cm
► (b) 8 cm
9. Which of the following is a Pythagorean triplet ?
(a) (36,18,43)
(b) (15,20,25)
(c) (3,12,13)
(d) (24,25,26)
► (b) (15,20,25)
10. If the sum of the length of the legs of a right triangle is 49 cm and the hypotenuse is 41 cm, find its shortest side.
(a) 19 cm
(b) 40 cm
(c) 4 cm
(d) 9 cm
► (d) 9 cm
11. A boy is trying to catch fish sitting at a height of 12 m from the surface of the water. A big fish is at a horizontal distance of 5 m from him. What should be the length of his string to get the fish?
(a) 10
(b) 13
(c) 7
(d) 15
► (b) 13
12. The length of the side of a rhombus whose diagonals are of lengths 24 cm and 10 cm is
(a) 17 cm.
(b) 14 cm.
(c) 13 cm.
(d) 16 cm.
► (c) 13 cm.
13. In ΔABC, AB = 5 cm, AC = 7 cm. If AD is the angle bisector of ∠A. Then BD : CD is:
(a) 25 : 49
(b) 49 : 25
(c) 6 : 1
(d) 5 : 7
► (d) 5 : 7
14. The monitors of computers are measured along the diagonal. What is the size of the largest monitor that can be placed in a space measuring 17″ x 21″?
(a) 28″
(b) 25″
(c) 26″
(d) 27″
► (d) 27″
15. Two isosceles triangles have equal angles and their areas are in the ratio 16 : 25. Then, the ratio of their corresponding heights is
(a) 3/5
(b) 5/4
(c) 5/7
(d) 4/5
► (d) 4/5
16. Triangle ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. Triangle DEF is similar to ΔABC. If EF = 4 cm, then the perimeter of ΔDEF is :
(a) 7.5 cm
(b) 15 cm
(c) 22.5 cm
(d) 30 cm
► (b) 15 cm
17. Three squares are based on the sides of a right angled triangle. The area of the two smaller ones are 144 sq. cm and 256 sq. cm. What is the area of the third one?
(a) 625 sq. cm
(b) 361 sq. cm
(c) 400 sq. cm
(d) 900sq. cm
► (c) 400 sq. cm
18. The line segments joining the mid points of the sides of a triangle form four triangles each of which is :
(a) Similar to the original triangle
(b) Congruent to the original triangle
(c) An equilateral triangle
(d) An isosceles triangle
► (a) Similar to the original triangle
19. Two friends A and B start from the same point in the Eastern and Northern directions at the same time. How far are they from each other when A has travelled 5 km and B has travelled 12 km. distance?
(a) 8 km
(b) 17 km
(c) 10 km
(d) 13 km
► (d) 13 km
20. ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm, then AE is equal to :
(a) 1.4 cm
(b) 1.8 cm
(c) 1.2 cm
(d) 1.05 cm
► (a) 1.4 cm
21. If ΔABC ∼ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true?
(a) BC . DE = AB .EF.
(b) AB . EF = AC . DE.
(c) BC . EF = AC . FD.
(d) BC . DE = AB .FD.
► (a) BC . DE = AB .EF.
22. Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF = 12 cm then DE is :
(a) 6 cm
(b) 16 cm
(c) 18 cm
(d) 15 cm
► (c) 18 cm
Hope the given MCQ Questions will help you in cracking exams with good marks. These Triangles MCQ Questions will help you in practising more and more questions in less time.