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Triangles_ 10th class

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

If a line divides any two sides of a triangle in the same ratio then the line is_____ to the third side

a)

equal

b)

parallel

c)

intersecting

d)

coinciding

2.

A vertically stick 20 m long casts a shadow 10 m long on the ground, At the same time a tower casts a shadow 50 m long on the ground, The height of the tower is

a)

100 m

b)

120 m

c)

25 m

d)

200 m

3.

 ΔABC ∼  ΔDEF,\Delta ABC\ \sim\ \ \Delta DEF,  AB=4 cm BC=3.5 cm CA=2.5 cm and DF=7.5 cm, then perimeter of  ΔDEF\Delta DEF  is

a)

10 cm

b)

14 cm 

c)

25 cm

d)

30 cm

4.

If  \Delta\ ABC\ \sim\ \Delta\ RPQ,\  AB = 3 cm, BC = 5 cm, AC = 6 cm, RP = 6 cm and PQ = 10 cm, then QR = ?

a)

12 cm

b)

6 cm

c)

18 cm

d)

36 cm

5.

In figure,

 QA ⊥ AB and PB ⊥ AB. QA\ \perp\ AB\ and\ PB\ \perp\ AB.\   If AO = 20 cm, BO = 12 cm PB = 18 cm, then AQ = ?

a)

32 cm

b)

28 cm 

c)

30 cm

d)

35 cm

6.

If in two triangles ABC and PQR,  \frac{AB}{QR}=\ \frac{BC}{PR}=\ \frac{CA}{PQ}  , then ..

a)

 Δ PQR ∼Δ CAB\Delta\ PQR\ \sim\Delta\ CAB  

b)

 Δ PQR ∼Δ ABC\Delta\ PQR\ \sim\Delta\ ABC  

c)

 Δ CBA ∼Δ PQR\Delta\ CBA\ \sim\Delta\ PQR  

d)

 Δ BCA ∼Δ PQR\Delta\ BCA\ \sim\Delta\ PQR  

7.

The lengths of the diagonals of rhombus are 16 cm and 12 cm. Then length of the side of rhombus is ...

a)

9 cm

b)

10 cm

c)

8 cm

d)

20 cm

8.

 ΔABC\Delta ABC  is an isosceles triangle in which  ∠C=90°\angle C=90\degree  . If AC =6 cm, AB= 

a)

6 2\sqrt{2}  cm

b)

6 cm

c)

2 6\sqrt{6}  cm 

d)

4 2\sqrt{2}  cm

9.

The length of hypotenuse of an isosceles right triangle whose one side is 4 2\sqrt{2}  cm is 

a)

12cm

b)

8cm

c)

8 2\sqrt{2}  cm

d)

12 2\sqrt{2}  cm

10.

A vertical stick 12 m long casts a shadow 8 m long on the ground.At the same time a tower casts the shadow 40m long on the ground. Determine the height of the tower.

a)

45 m

b)

60 m

c)

65 m

d)

37 m