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A triangle has a base x and an altitude y. A second triangle has a base twice the altitude of the first triangle, and an altitude twice the base of the first triangle. What is the area of the second triangle?
If altitude bubble is provided both on index frame as well as on telescope of a theodolite, then the instrument is levelled with reference toi) altitude bubble on index frameii) altitude bubble on index frame if it is to be used as a leveliii) altitude bubble on telescopeiv) altitude bubble on telescope if it is to be used as a level The correct answer is
If altitude bubble is provided both on index frame as well as on telescope of a theodolite, then the instrument is levelled with reference to
i) altitude bubble on index frame
ii) altitude bubble on index frame if it is to be used as a level
iii) altitude bubble on telescope
iv) altitude bubble on telescope if it is to be used as a level
The correct answer is
Which of the following statements is/are true? A: If the sides of an equilateral triangle becomes 2√2 times, then its area will become 4√6 times. B: If the distance between any two parallel sides of a rhombus is 25% less than its diagonal, then its other diagonal will be 50% more than its side. C: If ratio between altitude and base of a right-angled triangle is 3: 5, then the ratio between its hypotenuse and base will be √30: 5.
A rhombus is fixed inside a rectangle of sides 6cm and 10cm in such a way that not any part of the rhombus will be outside of the rectangle. If one of the angles of the rhombus is 45°. The area occupied by the rhombus is x percentage of the area of the rectangle. What is the maximum value of x?
One diagonal of a rhombus is 25% more than the other diagonal. The area of the rhombus is 40 cm2. A circle is drew starting from one of the vertices of the rhombus in such a way that the rhombus is completely inside the circle. What is the area of such a circle?
There is a rhombus of side 6 cm. One of the diagonal of the rhombus is equal to the side of the rhombus. An isosceles triangle is formed whose two equal sides are equal to another diagonal of the rhombus and the third side is equal to 8 cm. Find the area of the triangle.
A square and a rhombus have the same base and rhombus is inclined at 60°. What is the ratio of area of the square to the area of the rhombus.
Which of the following statements is/are true? A: If radius of a cylinder is decreased by 50% and its volume remains same, then its height will be increased by 200%. B: Difference between the curved surface area and total surface area of a cone is equal to the area of its circular base. C: If height of a cylinder is equal to its radius, then its curved surface area will be equal to the total area of its both the circular bases.
A right prism of the base equilateral triangle is cut into n equal pieces with a line parallel to base in such a way that base surface area of all the pieces becomes 8 times of the base area of the original prism. If the side of the base of the original prism is 4 cm and volume is 96√3 cm3, then what is the lateral surface area of each piece?