Class 10 Practice – Level 2 – Set 2 – Triangles

Total questions: 25

The perimeters of two similar triangles ABC and PQR are 32cm and 24cm respectively. If PQ = 12cm, What is the value of AB?

Topic: Similar Triangles

12 cm

14 cm

16 cm

18 cm

None

ΔABC ∼ ΔDEF and their areas are respectively 64$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 121$ \displaystyle \text{c}{{\text{m}}^{2}}$. If EF = 15.4cm, What is the value of BC?

Topic: Areas of Similar Triangles

9.4 cm

10.6 cm

11.2 cm

12.3 cm

None

The area of two similar triangle are 169 $ \displaystyle \text{c}{{\text{m}}^{2}}$ and 121 $ \displaystyle \text{c}{{\text{m}}^{2}}$ respectively, If the longest side of the largest triangle is 26 cm, What is the value of longest side of the smaller triangle?

Topic: Areas of Similar Triangles

15 cm

18 cm

20 cm

22 cm

None

The areas of two similar triangles are 81$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 49$ \displaystyle \text{c}{{\text{m}}^{2}}$ respectively. If the altitude of the first triangle is 6.3 cm, What is the corresponding altitude of the other?

Topic: Areas of Similar Triangles

2.2 cm

4.9 cm

5.7 cm

8.3 cm

None

A ladder is placed in such a way that its foot is at a distance of 15 m from a wall and its top reaches a window 20 m above the ground. What should be the length of the ladder?

Topic: Pythagoras Theorem

25 m

30 m

45 m

55 m

None

The areas of two similar triangles are 100$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 64$ \displaystyle \text{c}{{\text{m}}^{2}}$ respectively. If a median of the smaller triangle is 5.6cm, What is the value of corresponding median of the other?

Topic: Areas of Similar Triangles

2 cm

6 cm

10 cm

7 cm

None

The sides of a triangle are 1.4cm, 4.8cm, 5cm. Determine if it is a right angled triangle?

Topic: Pythagoras Theorem

True

False

Cannot be determined

Incomplete information

None

ΔABC is an isosceles triangle with AB = AC = 13cm. The length of altitude from A on BC is 5cm. What is the value of BC?

Topic: Isosceles Triangle Properties

16 cm

20 cm

24 cm

30 cm

None

The sides of certain triangles are 1.6cm, 3.8cm, 4cm. Determine if it is a right angled triangle?

Topic: Right-Angled Triangles

Yes

Cannot be determined

Incomplete information

None

10.

A man goes 10m due south and then 24m due west. How far is he from the starting point?

Topic: Pythagoras Theorem

26 m

24 m

32 m

40 m

None

11.

A 13-m-long ladder reaches a window of a building 12 m above the ground. Determine the distance of the foot of the ladder from the building.

Topic: Pythagoras Theorem

5 m

10 m

15 m

20 m

None

12.

A man goes 80m due east and then 150m due north. How far is he from the starting point?

Topic: Pythagoras Theorem

140 m

150 m

160 m

170 m

None

13.

The sides of certain triangles are 9cm,16cm,18cm. Determine if it is a right angled triangle?

Topic: Right-Angled Triangles

Yes

Cannot be determined

Incomplete information

None

14.

The sides of certain triangles are 1cm, 24cm, 25 cm. Determine if it is a right angled triangle?

Topic: Right-Angled Triangles

Yes

Cannot be determined

Incomplete information

None

15.

Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Topic: Distance Between Two Points

9 m

11 m

13 m

15 m

None

16.

Two triangles ABC and PQR are such that AB = 3cm, AC = 6cm, ∠A = 70°, PR = 9cm, ∠P = 70° and PQ = 4.5cm. Which of the following criterion proves ΔABC ∼ ΔPQR?

Topic: Criteria for Similarity Triangles

SAS criterion

ASA criterion

SSS criterion

RHS criterion

None

17.

Which of the following theorem states that if a segment is formed by connecting the midpoints of two of the sides of a triangle, then that segment must be parallel to the third side?

Topic: Midpoint Theorem

Midpoint Theorem

Basic Proportionality Theorem

Pythagoras Theorem

Areas of similar triangles Theorem

None

18.

The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of the rhombus in length is:

Topic: Rhombus Properties

25 cm

28 cm

15 cm

10 cm

None

19.

The height of an equilateral triangle of side 5 cm is:

Topic: Properties of an Equilateral Triangle

4.0 cm

4.3 cm

5.0 cm

3.4 cm

None

20.

In a right angled triangle, the square on the hypotenuse is equal to the sum of squares on the other two sides. Which theorem's statement is this?

Topic: Pythagoras Theorem

Remainder theorem

Pythagoras theorem

Greens theorem

Isosceles triangle theorem

None

21.

If two angles of the one triangle are equal to the corresponding angles of the other triangle, then the triangles will be similar through:

Topic: Criteria for Similarity Triangles

AA-similarity criterion.

ASA-similarity criterion.

AAA-similarity criterion.

SAS-similarity criterion.

None

22.

Which of the following theorem states that if a line is parallel to a side of a triangle then it intersects the other sides into two distinct points?

Topic: Basic Proportionality Theorem

Basic Proportionality Theorem

Midpoint Theorem

Pythagoras Theorem

Remainder Theorem

None

23.

In a triangle ABC, if D, E, and F are the midpoints of sides BC, AC and AB respectively. Then, which of the following is not true.

Topic: Midpoint Theorem

△AFE ∼ △ABC

△BFD ∼ △ABC

ΔDEF ∼ △ABC

None of these

None

24.

A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.

Topic: Properties of Triangles

120 cm

136 cm

160 cm

172 cm

None

25.

If a line divides any two sides of a triangle in the same ratio. Then, the line must be parallel to the third side. Which theorem's statement is this?

Topic: Basic Proportionality Theorem

Isosceles theorem

Greens theorem

Pythagoras theorem

Thales theorem

None

1 out of 25

Time's up

Class 10 Practice – Level 2 – Set 2 – Triangles

Welcome back