MCQ Class 10, Triangles 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

2 + √3

4 + 3√3

4 + √3

3+ 4√4

Your comments:

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

5/8

3/5

2/5

3/8

Your comments:

Question 2 of 30

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

70°

80°

30°

65°

Your comments:

Question 3 of 30

4. In triangle MNP a line QR intersects MN and MP in Q and R respectivelysuch that

What are the values of the angles of the triangle MQR?

Your comments:

Question 4 of 30

5. In an equilateral triangle ABC, if

Then

Your comments:

Question 5 of 30

6. In the given figure ∠YXZ = ∠XPZ, then

is equal to:

PZ/XZ

XZ²

PZ²

ZY × ZP

Your comments:

Question 6 of 30

7. Which of the following is a Pythagorean triplet?

(15,20,25)

(3,12,13)

(36,18,43)

(24,25,26)

Your comments:

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?

121 m

10 m

16 m

10.2 m

Your comments:

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?

6.0 cm

3.2 cm

6.4 cm

4.8 cm

Your comments:

Question 9 of 30

10.

Perimeter

= 15 cm, Perimeter

=25 cm.If AB= 6 cm, then find DE.

Your comments:

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

- m²

m²

-n²

Your comments:

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

5 cm

6 cm

4 cm

2 cm

Your comments:

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?

13 m

25 m

169 m

12 m

Your comments:

Question 13 of 30

14. In adjoining fig. PQ II MN if

and KN = 20.4 Then KQ

2.4

4.6

4.9

4.8

Your comments:

Question 14 of 30

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

Your comments:

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

Your comments:

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?

Your comments:

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?

1:1:1

1:√3:2

1:1:√2

3:4:5

Your comments:

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

1,-1/2

1/2

1/2, -1

Your comments:

Question 19 of 30

20. In the given figure

each. Choose the correct similarity from the given choices.

Your comments:

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=?

7.5 cm

10 cm

13 cm

8.5 cm

Your comments:

Question 21 of 30

22.

√2:√3

2:3

1:2

16:81

Your comments:

Question 22 of 30

23. Two similar right triangles ABC and PQR are as shown in the figure.If AB=

,
PQ=

,BC=1.Find PR=?

2√3

Your comments:

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:

5 : 4

4 : 5

625 : 256

11 : 7

Your comments:

Question 24 of 30

25. In figure,

, then y + z is:

2 + √3

4 + √3

3 + 4√3

4 + 3√3

Your comments:

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.

29 inches

19.8 inches

9 inches

7.48 inches

Your comments:

Question 26 of 30

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

2 cm, 1 cm, √5 cm

9 cm, 15 cm, 12 cm

400 mm, 300 mm, 500 mm

9 cm, 5 cm, 7cm

Your comments:

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?

4/5

5/4

1/5

16/25

Your comments:

Question 28 of 30

29. We have a wooden box that measures 4 ft. × 3 ft. × 2 ft.

Find out what is the longest straight pole, like the red one, that you can have inside the box?

√27 ft

√72 ft

√29 ft

√30 ft

Your comments:

Question 29 of 30

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

2:1

1:2

1:1

1:3

Your comments:

Question 30 of 30

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