EduSahara™ Worksheet

Question 1

1.

In a right angled triangle △PQR, if QR = 13 cm is one of the perpendicular sides and RP = 19.1 cm is the hypotenuse, then corresponding height of side QR =

(i)

11.00 cm
(ii)

9.00 cm
(iii)

17.00 cm
(iv)

14.00 cm
(v)

19.00 cm

Question 2

2.

In a right angled triangle △PQR, if the area is 65 sq.cm and corresponding height of side QR = 10 cm, then perimeter of the triangle =

(i)

36.40 cm
(ii)

39.40 cm
(iii)

34.40 cm
(iv)

44.40 cm
(v)

42.40 cm

Question 3

3.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 11 cm, then perimeter of the triangle =

(i)

34.56 cm
(ii)

40.56 cm
(iii)

32.56 cm
(iv)

37.56 cm
(v)

42.56 cm

Question 4

4.

In the given figure, △BCD is a triangle with BE being the median of CD. Then

(i)
BC

2

+

BD

2

=

2

CE

2

+

2

BE

2
(ii)
BC

2

+

BD

2

=

2

ED

2

+

2

BE

2
(iii)
BC

2

+

BD

2

=

CD

2
(iv)
BC

2

+

BD

2

=

2

CE

2

+

2

ED

2
(v)
BC

2

+

BD

2

=

BE

2

Question 5

5.

In an isosceles right angled triangle △PQR, if QR = 10 cm is one of the equal sides, then corresponding height of side RP =

(i)

5.07 cm
(ii)

6.07 cm
(iii)

7.07 cm
(iv)

9.07 cm
(v)

8.07 cm

Question 6

6.

In an isosceles right angled triangle △PQR, if QR = 18 cm is one of the equal sides, then perimeter of the triangle =

(i)

58.46 cm
(ii)

64.46 cm
(iii)

66.46 cm
(iv)

56.46 cm
(v)

61.46 cm

Question 7

7.

In a right angled triangle △PQR, if QR = 17 cm is one of the perpendicular sides and RP = 25.5 cm is the hypotenuse, then perimeter of the triangle =

(i)

58.50 cm
(ii)

66.50 cm
(iii)

64.50 cm
(iv)

56.50 cm
(v)

61.50 cm

Question 8

8.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 12 cm, then corresponding height of side PQ =

(i)

9.00 cm
(ii)

15.00 cm
(iii)

12.00 cm
(iv)

7.00 cm
(v)

17.00 cm

Question 9

9.

In a right angled triangle △PQR, if the area is 88 sq.cm and base QR = 16 cm, then perimeter of the triangle =

(i)

43.42 cm
(ii)

41.42 cm
(iii)

46.42 cm
(iv)

51.42 cm
(v)

49.42 cm

Question 10

10.

In a right angled triangle △PQR, if the base QR = 12 cm and the corresponding height is 15 cm, then side PQ =

(i)

18.00 cm
(ii)

15.00 cm
(iii)

20.00 cm
(iv)

10.00 cm
(v)

12.00 cm

Question 11

11.

In the given figure, ABCD is a rhombus. Which of the following are true?

a)

BC

2
+
CD

2
=
BD

2

b)

c)

AB

2
+
BC

2
=
AC

2

d)

e)

(i)

{c,d}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{a,b}
(v)

{e,a,b}

Question 12

12.

In a right angled triangle △PQR, if the area is 170 sq.cm and corresponding height of side QR = 17 cm, then corresponding height of side PQ =

(i)

23.00 cm
(ii)

25.00 cm
(iii)

17.00 cm
(iv)

15.00 cm
(v)

20.00 cm

Question 13

13.

In an isosceles right angled triangle △PQR, if RP = 22.63 cm is the hypotenuse, then area of the triangle =

(i)

128.00 sq.cm
(ii)

155.00 sq.cm
(iii)

132.00 sq.cm
(iv)

123.00 sq.cm
(v)

105.00 sq.cm

Question 14

14.

In a right angled triangle △PQR, if QR = 18 cm is one of the perpendicular sides and RP = 26.17 cm is the hypotenuse, then area of the triangle =

(i)

197.00 sq.cm
(ii)

164.00 sq.cm
(iii)

173.00 sq.cm
(iv)

171.00 sq.cm
(v)

155.00 sq.cm

Question 15

15.

In an isosceles right angled triangle △PQR, if area = 98 sq.cm, then side PQ =

(i)

14.00 cm
(ii)

19.00 cm
(iii)

9.00 cm
(iv)

17.00 cm
(v)

11.00 cm

Question 16

16.

In an isosceles right angled triangle △PQR, if perimeter = 54.63 cm, then side RP =

(i)

22.63 cm
(ii)

25.63 cm
(iii)

17.63 cm
(iv)

19.63 cm
(v)

27.63 cm

Question 17

17.

In the given figure, in △GHI, 'O' is a point inside the triangle. OJ ⟂ HI, OK ⟂ GI and OL ⟂ GH. Then

(i)
GL

2

+

HJ

2

+

IK

2

=

OG

2

+

OH

2

+

OI

2

+

OJ

2

+

OK

2

+

OL

2
(ii)
GL

2

+

HJ

2

+

IK

2

=

OG

2

+

OH

2

+

OI

2

−

OJ

2

−

OK

2

−

OL

2
(iii)
GL

2

+

HJ

2

+

IK

2

=

GH

2

+

JI

2

+

IG

2

−

HL

2

−

IJ

2

−

KG

2
(iv)
GL

2

+

HJ

2

+

IK

2

=

OL

2

+

OK

2

+

OJ

2

Question 18

18.

In a right angled triangle △PQR, if the base QR = 11 cm and the corresponding height is 16 cm, then corresponding height of side RP =

(i)

8.06 cm
(ii)

10.06 cm
(iii)

7.06 cm
(iv)

9.06 cm
(v)

11.06 cm

Question 19

19.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 16 cm, then corresponding height of side QR =

(i)

19.00 cm
(ii)

11.00 cm
(iii)

16.00 cm
(iv)

21.00 cm
(v)

13.00 cm

Question 20

20.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 15 cm, then side PQ =

(i)

18.00 cm
(ii)

15.00 cm
(iii)

10.00 cm
(iv)

12.00 cm
(v)

20.00 cm

Question 21

21.

In a right angled triangle, if one of the angles is 52.43°, find the third angle

(i)

37.57°
(ii)

52.57°
(iii)

47.57°
(iv)

67.57°
(v)

42.57°

Question 22

22.

In a right angled triangle △PQR, if QR = 13 cm is one of the perpendicular sides and RP = 21.4 cm is the hypotenuse, then side PQ =

(i)

17.00 cm
(ii)

20.00 cm
(iii)

12.00 cm
(iv)

22.00 cm
(v)

14.00 cm

Question 23

23.

In a right angled triangle △PQR, if the area is 70 sq.cm and base QR = 14 cm, then corresponding height of side PQ =

(i)

17.00 cm
(ii)

9.00 cm
(iii)

14.00 cm
(iv)

11.00 cm
(v)

19.00 cm

Question 24

24.

In a right angled triangle, if the two non-hypotenuse sides are 6 cm and 8 cm, find the hypotenuse

(i)

10.00 cm
(ii)

8.00 cm
(iii)

11.00 cm
(iv)

12.00 cm
(v)

9.00 cm

Question 25

25.

In an isosceles right angled triangle △PQR, if QR = 16 cm is one of the equal sides, then corresponding height of side PQ =

(i)

11.00 cm
(ii)

21.00 cm
(iii)

19.00 cm
(iv)

16.00 cm
(v)

13.00 cm

Assignment Key