**Q1. The lengths of a triangle are 6 cm, 8 cm and 10 cm. Then the length of perpendicular from the opposite vertex to the side whose length is 8 cm is:**

- 5 cm
- 4 cm
- 2 cm
- 6 cm

**Q2. The perimeter of a right triangle is 144 cm and its hypotenuse measures 65 cm. The other sides and its area are**

- 26 cm, 63 cm, 504 cm
^{2} - 16 cm, 63 m , 604 cm
^{2} - 16 cm, ,63 cm, 504 cm
^{2} - 16 cm , 68 cm, 504 cm
^{2}

**Q3. The area of a triangle with two equal sides of length 12 cm making a right angle is**

- 72 cm
^{2} - 42 cm
^{2} - 23 cm
^{2} - 32 cm
^{2}

**Q4. The area of a right triangle with base 5 m and altitude 12 m is**

- 9 m
^{2} - 30 m
^{2} - 15 m
^{2} - 50 m
^{2}

**Q5. A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per m ^{2}. The cost of painting is:**

- Rs. 320
- Rs. 340
- Rs. 350
- Rs. 160

**Q6. The area of an equilateral triangle of side 14 cm is**

- 18 cm
^{2} - 49√3 cm
^{2} - 56√3 cm
- 58√3 cm
^{2}

**Q7. The area of a triangle, two sides of which are 5 cm and 6 cm and perimeter is 16 cm is**

- 36 cm
^{2} - 18 cm
^{2} - 42 cm
^{2} - 12 cm
^{2}

**Q8. The sides of a triangle are in the ratio of 13 : 14 : 15 and its perimeter is 84 cm. The area of the triangle will be equal to**

- 836 cm
^{2} - 386 cm
^{2} - 336 cm
^{2} - 886 cm
^{2}

**Q9. The area of a right triangle of height 15 m and base 20 m is**

- 160 m
^{2} - 216 m
^{2} - 150 m
^{2} - 210 m
^{2}

**Q10. Sides of a triangle are in the ratio of 4 : 6 : 7 and its perimeter is 340 cm. its area is**

- 300 cm
^{2} - 300√255 cm
^{2} - 100√255 cm
^{2} - 4800 cm
^{2}

**Q11. The perimeter of a rhombus is 146 cm. One of its diagonals is 55 cm. The length of the other diagonal and area of the rhombus are**

- 48 cm, 2320 cm
^{2} - 48 cm, 1320 cm
^{2} - 88 cm, 1320 cm
^{2} - 48 cm, 1820 cm
^{2}

**Q12. Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on land and produce different crops to suffice the needs of their family. She divided the land in two equal parts. If the perimeter of the land is 400 m and one of the diagonals is 160 m, the area of each part is**

- 4800 m
^{2} - 8800 m
^{2} - 48000 m
^{2} - 480 m
^{2}

**Q13. The base of an isosceles triangle is 10 cm and one of its equal sides is 13 cm. The area of the triangle is**

- 50 cm
^{2}. - 60 cm
^{2} - 80 cm
^{2} - 100 cm
^{2}

**Q14. The lengths of a triangle are 6 cm, 8 cm and 10 cm. Then the length of perpendicular from the opposite vertex to the side whose length is 8 cm is:**

- 5 cm
- 4 cm
- 6 cm
- 2 cm

**Q15. The area of a triangle with sides 32 cm, 34 cm and 34 cm is**

- 316 cm
^{2} - 382 cm
^{2} - 548 cm
^{2} - 480 cm
^{2}

**Q16. The triangular side walls of a fly-over have been used for advertisements. The sides of the walls are 122m, 22m and 120m. The advertisements yield an earning of Rs. 5000 per m ^{2} per year. A company hired one of its walls for 3 months. The rent paid by the company is**

- Rs. 165000
- Rs. 1550000
- Rs. 16500000
- Rs. 1650000

**Q17. The area of a triangle, two sides of which are 15 cm and 18 cm and perimeter is 48 cm is**

- 112 cm
^{2} - 108 cm
^{2} - 98 cm
^{2} - 86 cm
^{2}

**Q18. The adjacent sides of a parallelogram PQRS measure 34 cm and 20 cm and the diagonal QS measures 42 cm. Then, the area of parallelogram is:**

- 924 cm
^{2} - 672 cm
^{2} - 545 cm
^{2} - 850 cm
^{2}

**Q19. The perimeter of a triangle with two sides of length 15 cm and 12.5 cm is 40 cm. Find the area of the triangle.**

- 12 cm
^{2} - 75 cm
^{2} - 45 cm
^{2} - 35 cm
^{2}

**Q20. The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.**

- 240 cm
^{2} - 315 cm
^{2} - 451 cm
^{2} - 512 cm
^{2}

**Q21. The area of quadrilateral PQRS, in which PQ = 7 cm, QR = 6 cm, RS = 12 cm, PS = 15 cm and PR = 9 cm:**

- 68.25 cm
^{2} - 25.25 cm
^{2} - 75 cm
^{2} - 74.98 cm
^{2}

**Q22. The area of a triangle with sides 37.5 cm, 37.5 cm and 45 cm and semi-perimeter 60 cm is**

- 625 cm
^{2} - 675 cm
^{2} - 525 cm
^{2} - 575 cm
^{2}

**Q23. If the radius of its circumcircle is 5 cm and the altitude drawn to the hypotenuse is 4 cm, the area of a right-angled triangle is equal to**

- 20 cm
^{2} - 50 cm
^{2} - 40 cm
^{2} - 10 cm
^{2}

**Q24. The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Its area is**

- 8598. 08m
^{2} - 6598. 08m
^{2} - 2598. 08m
^{2} - 5598. 08m
^{2}

**Q25. A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:**

- 16 sq units
- 4 sq units
- 2 sq units
- 0 sq units

**Q26. The base of a right angled triangle with area 300 cm ^{2 }and height 30 cm is**

- 15 cm
- 30 cm
- 20 cm
- 10 cm

**Q27. A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per cm ^{2}. The cost of painting is:**

- Rs.500
- Rs.320
- Rs.640
- Rs.550

**Q28. The area of an isosceles triangle is 60 cm ^{2} and the length of each one of its equal sides is 13 cm, the length of its base is**

- 14 cm, or 10 cm
- 24 cm, or 10 cm
- 24 cm, or 20 cm
- 44 cm, or 10 cm

**Q29. The sides of a triangle are in the ratio 25 : 17 : 12 and its perimeter is 540 m. The area of the triangle is**

- 9000 m
^{2} - 10000 m
^{2} - 12000 m
^{2} - 5000 m
^{2}

**Q30. The perimeter of an isosceles right angled triangle having an area of 200 cm ^{2} is**

- 88.2 cm
- 68.5 cm
- 69.2 cm
- 68.2 cm.