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Class 10, Triangles, CBSE Online Test Paper (Set-III)

1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. In figure, ABC PQR, then y + z is
211880_image035 

 
 
 
 
 

Question 1 of 30

2. Given two triangles ABC and DEF ,AG and DH are perpendiculars on BC and EF respectively.∠B = ∠E, AB=5, DE=8 .What is 4465_image034 =?
 
 
 
 

Question 2 of 30

3. In the following figure, find the value of x.
29792_govind23 

 
 
 
 
 

Question 3 of 30

4. In triangle MNP a line QR intersects MN and MP in Q and R respectivelysuch that 4217_image007 If 4217_image008 ,4217_image009 What are the values of the angles of the triangle MQR?

 

 
 
 
 
 

Question 4 of 30

5. In an equilateral triangle ABC, if 12199_image021 Then

 

 
 
 
 
 

Question 5 of 30

6. In the given figure ∠YXZ = ∠XPZ, then 211859_image024 is equal to:

211859_image026 
 
 
 
 

Question 6 of 30

7. Which of the following is a Pythagorean triplet?
 
 
 
 

Question 7 of 30

8. How far up a wall will an 11m ladder reach, if the foot of the ladder is 4m away from the wall?
39122_z981106 

 
 
 
 
 

Question 8 of 30

9. In triangle ABC ,DE || BC,AD=1.2 cm DB=3.6 cm, AE=1.6 cm.What must be the value of EC?
 
 
 
 

Question 9 of 30

10. 4181_image010 Perimeter 4181_image049 = 15 cm, Perimeter 4181_image061 =25 cm.If AB= 6 cm, then find DE.
 
 
 
 

Question 10 of 30

11. If the sum of the squares of a and b is the same as the square of c and if m < n, then for what value of k can the Pythagorean triples be generated with the following equations?
a = n2 + k , b = 2mn : c = m2 + n2
 
 
 
 

Question 11 of 30

12. In adjoining fig. DE || BC, if AD = x DB = x -2, AE = x +2, and EC = x -1 . The value of x is
2 

 
 
 
 
 

Question 12 of 30

13. There is a building with window at a height of 12 m. You want to use a ladder to go up to the window, and you decide to keep the ladder 5 m away from the building to have a good slant. How long should the ladder be?
 
 
 
 

Question 13 of 30

14. In adjoining fig. PQ II MN if 4791_image069 and KN = 20.4 Then KQ

4 

 
 
 
 
 

Question 14 of 30

15. A Pythagorean triplet is 7, 24, X. What is the value of X?
 
 
 
 

Question 15 of 30

16. Three numbers form a Pythagorean triplet. Two of them are 15 and 17 where 17 is the largest of them. The third number is
 
 
 
 

Question 16 of 30

17. In triangle ABC ,DE || BC AD=3 cm, DB=8 cm AC=22 cm. At what distance from A does the line DE cut AC?
 
 
 
 

Question 17 of 30

18. Triangle ABC is an isosceles right triangle right angled at B.DE is a line parallel to BC which intersects AB in D and AC in E.What ratio are the sides of triangle ADE in?
 
 
 
 

Question 18 of 30

19. In triangle ABC, D and E are points on AB and AC such that DE || BC. If AD = 4x-3, AE = 8x-7,
BD = 3x-1 and CE = 5x-3, find the value of x
 
 
 
 

Question 19 of 30

20. In the given figure 4179_image041= 4179_image042 each. Choose the correct similarity from the given choices.

4179_X_Triangle12345789 

 

 
 
 
 
 

Question 20 of 30

21. 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=?
 
 
 
 

Question 21 of 30

22. 12 

 
 
 
 
 

Question 22 of 30

23. Two similar right triangles ABC and PQR are as shown in the figure.If AB=4199_image007,
PQ=4199_image008,BC=1.Find PR=?

4199_image006 (1) 

 
 
 
 
 

Question 23 of 30

24. If the ratios of areas of two similar triangles are 121 : 49 the ratios of their corresponding angle-bisector segments is:
 
 
 
 

Question 24 of 30

25. In figure,211838_image018 , then y + z is:
 
 
 
 

Question 25 of 30

26. Find the height of the given triangle if its base is 26 inches and the slant side is 15 inches long as shown below.
39712_z981131 (1) 

 
 
 
 
 

Question 26 of 30

27. Which of the following cannot be the lengths of the sides a right triangle?
 
 
 
 

Question 27 of 30

28. In two similar triangles, ABC and DEF AB=4 cm, DE=5 cm.What is the ratio of the perimeters of triangles ABC and DEF?
 
 
 
 

Question 28 of 30

29. We have a wooden box that measures 4 ft. × 3 ft. × 2 ft.
39642_z981117Find out what is the longest straight pole, like the red one, that you can have inside the box?
 
 
 
 

Question 29 of 30

30. Two congruent triangles are actually similar triangles with the ratio of corresponding sides as.
 
 
 
 

Question 30 of 30