2. Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
1.Find five rational numbers between 3/5 and 4/5.
5.The altitude and the base of a triangular field are in the ratio 6 : 5. If its cost is ₹ 49,57,200 at the rate of ₹ 36,720 per hectare and 1 hectare = 10,000 sq. m, find (in metre) dimensions of the field,
Solution:
4.The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.
3.The area of an equilateral triangle is 144√3 cm2; find its perimeter.
2.The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m2; find its base and height.
1.Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm ; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm side.
5. For any angle θ, state the value of:
Sin2 θ + cos2 θ.
3.If sin x = cos y; write the relation between x and y, if both the angles x and y are acute.
2. If sin x = cos x and x is acute, state the value of x.
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