Geometry and Mensuration Worksheet-7

Geometry and Mensuration Worksheet-7

1. The triangle formed by BC = 5 cm, AC = 3 cm, AB = 5.8 cm

(a) A right angled Δle                  (b) An isosceles Δle

(c) An equilateral Δle                  (d) A scalene Δle

2. In a ΔABC if AB² = BC² + AC², then the right angle is at

(a) A                    (b) B                   (c) C                    (d) None

3. The Δle formed by BC = 72. cm, AC = 6 cm and ∠C = 120º is

(a) An acute angle Δle                 (b) An obtuse angled Δle

(c) A right angled Δle                  (d) None

4. The Δle formed by AB = 3 cm, BC = 4 cm, AC = 8 cm is

(a) a scalene Δle                           (b) an isosceles Δle

(c) an equilateral Δle                   (d) no triangle is formed

5. If two angles in a Δle are 65º and 85º, then the third  angle is

(a) 30º               (b) 45º               (c) 60º               (d) 90º

6. If one angle is the average of the other two angles and the difference between the greatest and least angles is 60º, then the formed Δle is

(a) An Isosceles Δle                     (b) An equilateral Δle

(c) A right angled Δle                  (d) a right angled isosceles Δle

7. In ΔABC, if AB = BC and ∠B = 80º then ∠C

(a) 50º               (b) 100º             (c) 130º              (d) none

8. The Δle formed by BC = AC = 7.2 cm and ∠C = 90º

(a) A right angle Δle

(b) an isosceles Δle

(c) a right angled isosceles Δle

(d) no Δle is formed

9. Which of the following statement is false?

(a) The sum of two sides of a Δle is greater than the third side.

(b) In a right angled Δle hypotenuse is the longest side

(c) A, B, C are collinear if AB + BC = AC

(d) None of these

10. The length of the hypotenuse of a right angled Δle whose two legs measure 12 cm and 0.35 m is

(a) 37 m             (b) 3.72 cm       (c) 0.372 cm     (d) 37 m

11. If the two legs of a right angled Δle are equal and the square of the hypotenuse is 100 then the length of each leg is

(a) 10                  (b)              (c)             (d) None

12. Two sides of an isosceles Δle are 5 cm and 6 cm. Then the length of the third side is

(a) 5 cm                                          (b) 6 cm

(c) 5 cm or 6 cm                           (d) None

13. In a ΔPQR, PQ = PR and ∠Q is twice that of ∠P. Then ∠Q =

(a) 72º                (b) 36º               (c) 144º              (d) 108º

14. If two sides of an isosceles Δle are 3 cm and 8 cm, then the length of the third side is

(a) 3 cm                                          (b) 8 cm

(c) 3 cm or 8 cm                           (d) None

15. If an ΔABC, ∠A = 60º and AB = AC then ΔABC is

(a) An isosceles Δle

(b) A right angled Δle

(c) An isosceles right angled Δle

(d) an equilateral Δle

16. Two sides of a Δle are 7 and 10 units. Which of the following length can be the length of the third side?

(a) 19 cm           (b) 17 cm           (c) 13 cm            (d) 3 cm

17. In a ΔABC, if AB + BC = 10 cm, BC + CA = 12 cm, CA + AB = 15 cm then the perimeter of the Δle is

(a) 19 cm           (b) 17 cm           (c) 38 cm           (d) None

18. In the following figure if AB = AC then find ∠x.

(a) 80º               (b) 70º               (c) 60º               (d) 110º

19. The angles in a right angled Δle other than the right angle are

(a) Acute            (b) Obtuse         (c) Right            (d) None

20. In a ΔABC, if ∠A = B + ∠C then ∠A = _____

(a) 60º               (b) 45º               (c) 90º               (d) None

Answer Key:

(1)-(d); (2)-(c); (3)-(b); (4)-(d); (5)-(a); (6)-(c); (7)-(a); (8)-(c); (9)-(d); (10)-(a); (11)-(b); (12)-(c); (13)-(a); (14)-(b); (15)-(d); (16)-(c); (17)-(a); (18)-(b); (19)-(a); (20)-(c)