91). Find the length of the altitude of an equilateral triangle of side \( \Large 9\sqrt{3} \)cm.
| A). 21 cm |
| B). 15.5 cm |
| C). 14 cm |
| D). 13.5 cm |
|
92). The perimeter of an equilateral triangle is 90 cm. Find its area.
| A). \( \Large 225\sqrt{3} \)sq cm |
| B). \( \Large 250\sqrt{3} \)sq cm |
| C). \( \Large 135\sqrt{3} \)sq cm |
| D). \( \Large 151\sqrt{3} \)sq cm |
|
93). The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.
| A). 6 cm and 10 cm |
| B). 8 cm and 9 cm |
| C). 10 cm and 8 cm |
| D). 14 cm and 6 cm |
|
94). The area of a right angled triangle is 24 \( \Large cm^{2} \) and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse Is
| A). 3.6 cm |
| B). 4.8 cm |
| C). 5.2 cm |
| D). 12 cm |
|
95). Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio of 3 : 7. What is the ratio of their areas?
| A). 9 : 7 |
| B). 2 : 1 |
| C). 9 : 49 |
| D). 7 : 9 |
|
96). The ratio between the length and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the perimeter of the rectangle?
| A). 30 cm |
| B). 25 cm |
| C). 35 cm |
| D). 40 cm |
|
97). One side of a rectangular field is 9 m and one of its diagonal is 20 m. Find the area of the field.
| A). \( \Large 9\sqrt{319} \) |
| B). \( \Large 7\sqrt{314} \) |
| C). \( \Large 2\sqrt{319} \) |
| D). \( \Large 5\sqrt{319} \) |
|
98). The area of a rectangle, whose one side is 'a' is \( \Large 2a^{2} \). What is the area of a square having one of the diagonals of the rectangle as side?
| A). \( \Large 2a^{2} \) |
| B). \( \Large 3a^{2} \) |
| C). \( \Large 4a^{2} \) |
| D). \( \Large 5a^{2} \) |
|
99). If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.
| A). 6% |
| B). 4% |
| C). 5% |
| D). 9% |
|
100). If the sides of a rectangle are increased by 10% find the percentage increase in its diagonals.
| A). 20% |
| B). 10% |
| C). 15% |
| D). 18% |
|
