Free Printable 10th chp 6 Triangles

1.

In figure, $DE\ \parallel\ BC$ . Find the length of the side AD, given that AE = 1.8 cm, BD = 7.2 cm and CE = 5.4 cm

a)

2.2 cm

b)

2.4 cm

c)

1.8 cm

d)

2 cm

2.

In figure, ABC is an isosceles triangle right angled at C with AC = 4 cm. Find length of AB.

a)

4\sqrt{2}\ cm

b)

$3\sqrt{2}\ cm$

c)

$2\sqrt{2}\ cm$

d)

$\sqrt{2}\ cm$

3.

$\Delta\ ABC\ \sim\ \Delta\ PQR$ , if $\frac{AB}{PQ\ }=\ \frac{1}{2}$ , then $\frac{area\ \Delta\ ABC}{area\ \Delta PQR}$ = ?

Given

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

$\frac{3}{4}$

4.

The area of two similar triangles are 81 cm² and 144 cm² . If largest side of smaller triangle is 27 cm, find the largest side of larger triangle.

a)

18 cm

b)

72 cm

c)

36 cm

d)

54 cm

5.

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

6.

in $\Delta$ ABC, $DE\ \parallel\ AB$ , If AD = 2x, DC = x+3, BE = 2x - 1 and CE = x, then x = ?

a)

$\frac{5}{3}$

b)

$\frac{1}{2}$

c)

$\frac{5}{6}$

d)

$\frac{3}{5}$

7.

$\angle A\ =\ 90\degree,\$ and $AD\ \perp\ BC.\$ If BD = 2 cm and CD = 8 cm, then AD = ?

In figure,

a)

2 cm

b)

4 cm

c)

6 cm

d)

8 cm

8.

In figure,

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

9.

A right angled triangle has hypotenuse of length q cm and one side of the length p cm. If (q - p) = 2, express the length of third side of the right triangle in terms of q

a)

$\sqrt{q\ -\ 1}$

b)

$2\sqrt{q\ -\ 1}$

c)

$\frac{1}{2\sqrt{q\ -\ 1}}$

d)

$3\sqrt{q\ -\ 1}$

10.

In given figure,

\frac{AD}{BD}=\ \frac{AE}{EC}

and

\angle ADE\ =\ 70\degree

,

\angle BAC\ =\ 50\degree\

, then

\angle BCA\ =\ ?

a)

$70\degree$

b)

$50\degree$

c)

$80\degree$

d)

$60\degree$

11.

In given figure, AD = 3 cm, AE = 5 cm, BD = 4 cm, CE = 4 cm, CF = 2 cm, BF = 2.5 cm, then ...

a)

$DE\ \parallel\ BC$

b)

$DF\ \parallel\ AC$

c)

$EF\ \parallel\ AB$

d)

none of these

12.

If $\Delta\ \ ABC\ \sim\ \Delta\ EDF\ and\ \Delta\ ABC$ is not similar to $\Delta\ DEF$ , then which of the following is not true?

a)

$BC\ \cdot EF\ =\ AC\ \cdot FD$

b)

$AB\ \cdot\ EF\ =\ AC\ \cdot DE$

c)

$BC\ \cdot DE\ =\ AB\ \cdot\ EF$

d)

$BC\ \cdot\ DE\ =\ AB\ \cdot\ FD$

13.

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

a)

$\Delta\ PQR\ \sim\Delta\ CAB$

b)

$\Delta\ PQR\ \sim\Delta\ ABC$

c)

$\Delta\ CBA\ \sim\Delta\ PQR$

d)

$\Delta\ BCA\ \sim\Delta\ PQR$

14.

In given figure, value of x (in cm) is .....

a)

3 cm

b)

4 cm

c)

5 cm

d)

6 cm

15.

If in two triangles DEF and PQR, $\angle D\ =\ \angle Q$ and $\angle R\ =\ \angle E$ , then which of the following is not true

a)

$\frac{EF}{PR}\ =\ \frac{DF}{PQ}$

b)

$\frac{DF}{PQ}\ =\ \frac{EF}{RP}$

c)

$\frac{DE}{QR}\ =\ \frac{DF}{PQ}$

d)

$\frac{EF}{RP}\ =\ \frac{DE}{QR}$

16.

In triangles ABC and DEF, $\angle B\ =\ \angle E$ , $\angle F\ =\ \angle C$ and AB = 3DE. Then the two triangles are

a)

congruent but not similar

b)

similar but not congruent

c)

neither congruent nor similar

d)

congruent as well similar

17.

ABC and BDE are two equilateral triangles such that D is mid point of BC. Ratio of the ares of triangles ABC and BDE is

a)

2:1

b)

1:4

c)

1:2

d)

4:1

18.

$\Delta\ ABC\ \sim\ \Delta\ PQR$ Area of $\Delta\ ABC\ =\ 81\ cm\ ^2$ and area of $\Delta\$ PQR = 121 $cm^2$ . If altitude AD = 9 cm, then PM = ....?

a)

10 cm

b)

11 cm

c)

12.5 cm

d)

11.5 cm

19.

Sides of two similar triangles are in the ratio 3:7 . Areas of these triangles are in the ratio

a)

9:35

b)

9:49

c)

49:9

d)

9:42

20.

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

10th chp 6 Triangles

Total questions: 20

Worksheet time: 21mins

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