# Important Questions for CBSE Class 10 Maths Chapter 6 - Triangles 1 Mark Question

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CBSE Class 10 Maths Chapter-6 Triangles Important Questions

## 1 Mark Questions

1. In the figureif we have AB = 4 cm, ED = 3 cm, CE = 4.2 cm and CD = 4.8 cm, then the values of CA and CB are

(a) 6 cm, 6.4 cm
(b) 4.8 cm, 6.4 cm
(c) 5.4 cm, 6.4 cm
(d) 5.6 cm, 6.4 cm
Ans. (d) 5.6 cm, 6.4 cm

2. The areas of two similar triangles are respectively and . Then ratio of the corresponding sides are
(a) 3:4
(b) 4:3
(c) 2:3
(d) 4:5
Ans. d) 4:5

3. Two isosceles triangles have equal angles and their areas are in the ratio 16:25, then the ratio of their corresponding heights is
(a)
(b)
(c)
(d)
Ans. (a)

4. If and area , area then DE =
(a)  cm
(b) 7.5 cm
(c) 8.5 cm
(d) 7.2 cm
Ans. (b) 7.5 cm

5. A man goes 15 m due west and then 8 m due north. Find distance from the starting point.
(A) 17 m
(B) 18 m
(C) 16 m
(D) 7 m
Ans. (A) 17 m

6. In a triangle ABC, if AB = 12 cm, BC = 16 cm, CA = 20 cm, then is
(A) Acute angled
(b) Right angled
(c) Isosceles triangle
(d) equilateral triangle
Ans. (b) Right angled

7. In an isosceles triangle ABC, AB=AC=25 cm and BC = 14 cm, then altitude from A on BC =
(a) 20 cm
(b) 24 cm
(c) 12 cm
(d) None of these
Ans. (b) 24 cm

8. The side of square who’s diagonal is 16 cm is
(a) 16 cm
(b)
(c)
(d) None of these
Ans. (b)

9. In an isosceles triangle ABC, if AC = BC and , then
(a)
(b)
(c)
(d)
Ans. (c)

10. If and is not similar to , then which of the following is not true?
(a)
(b)
(c)
(d)
Ans. c)

11. A certain right-angled triangle has its area numerically equal to its perimeter. The length of each side is an even integer, what is the perimeter?
(a) 24 units
(b) 36 units
(c) 32 units
(d) 30 units
Ans. (a) 24 units

12. In the given figure, if AB ||CD, then

(a) 3

(b) 4
(c) 5
(d) 6
Ans. (a) 3

13. Length of an altitude of an equilateral triangle of side ‘2a’ cm is
(a) 3a cm
(b)
(c)
(d)
Ans. (b)

14. If in two triangles ABC and PQR,
(a)
(b)
(c)
(d)
Ans. a)

15. The area of two similar triangles are and respectively. If the altitude of the bigger triangle is 4.5 cm, then the corresponding altitude of the smaller triangle is
(a) 2.5 cm
(b) 2.8 cm
(c) 3.5 cm
(d) 3.7 cm
Ans. c) 3.5 cm

16. In a right-angled triangle, if base and perpendicular are respectively 36015 cm and 48020 cm, then the hypotenuse is
(a) 69125 cm
(b) 60025 cm
(c) 391025 cm
(d) 60125 cm
Ans. (b) 60025 cm

17. In figure, DE||BC and AD =1 cm, BD = 2 m. The ratio of the area of to the area of
(a) 9:1
(b) 1:9
(c) 3:1
(d) none of these
Ans. (a) 9:1

18. In the given figure,, then the value of and y are

(a)
(b)
(c)
(d) none of these
Ans. (b)

19. In figure, P and Q are points on the sides AB and AC respectively of such that AP = 3.5 cm, AQ = 3 cm and QC = 6 cm. If PQ = 4.5 cm, then BC is

(a) 12.5 cm
(b) 5.5 cm
(c) 13.5 cm
(d) none of these
Ans. c) 13.5 cm

20. D, E, F are the mid-points of the sides AB, BC, and CA respectively of , then is
(a) 1:4
(b) 4:1
(c) 1:2
(d) none of these
Ans. (a) 1:4