ICSE Board: Suggested Books ICSE Board: Foundation Mathematics Class 8: Reference Books Class 8: NTSE Preparation --------------------------------------------------------------

Q.1 , right angled at A, find BC when:

i)

ii)

iii)

iv)

Q.2. In , right angled at Q, find PQ

i)

ii)

iii)

iv)

Q.3. The length of the side of some triangles is given below which one of them is right angled? In case of a right angled triangle, find which angle measures

i)

ii)

Not a right angled triangle

iii)

iv)

Not a right angled triangle

Q.4. Find the unknown side of each of the following figures;

Q.5. If the adjoining figure, it is given that:

.Find the length of

Answer:

Q.6. If the length of the diagonal of a rectangle is 37 cm. if the length of the shorter side is 12 cm, Find: i) The length of its longer side ii) Perimeter of rectangle iii) Area of rectangle

Answer:

Perimeter

Area

Q.7. The Base of an 150 sales triangle in 28 cm long and . Let find i) Length of AD ii) Area of ABC

Answer:

Area of ABC

Q.8. A diagonal of a rhombus in 16 cm long and each of its aides measures 10 cm. Find the length of the other diagonal.

Answer:

Diagonal of a rhombus bisect each other and also interest each other at right angle.

Shorter diagonal = 12 cm.

Q.9. The supporting wire to the top of a vertical pole in 13 cm long and it in fastened to the ground at a state 5 m among from the foot of the pole. How high is the pole?

Answer:

Let AB be the pole.

Q.10. A ladder 26 m long rust against a vertical wall with its foot 10m against from the wall how high up the wall will the ladder reach.

Answer:Let AB be the height of the ladder.

Q.11. A 15 meter against a vertical wall 21 reach a window at a height of 12m from the ground. How for in the foot of the ladder?

Answer

Let the distance of the foot of the ladder from the wall=d

Q.12. The height of thus to were are 34m and 10m respectively. If the distance between there fact in 32m, find the distance between their tops.

Answer:

Let l be the distance between the tops

Q.13. In the adjoining figure, ABC in a triangle in which . If D in the mid point of BC. Prove that

Answer:

Q.14. In the adjoining figure, it in given of that

Answer:-

Q.15. In the following figure, it in being given that:.

Find the Perimeter of:

Answer:

Perimeter of

Perimeter of

Perimeter of

Q.16. In the adjoining figure,

Answer:

Subtract ii) from i) ,

Q.17. In the Adjoining figure,

Answer:

Q.18. In a , if are mid point of , respectively and

Answer:

Adding (1) & (2)

Q.19. In quadrilateral

Answer:

Subtracting ii) from i)