3.The area of an equilateral triangle is 144√3 cm2; find its perimeter.
Solution:
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.
Solution:
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.
sin x = cos y = sin (90o – y)
If x and y are acute angles
x = 90o – y
which implies,
x + y = 90o
hence x and y are complementary angles.
2. If sin x = cos x and x is acute, state the value of x.
Prove that:
3 cosec2 60o – 2 cot2 30o + sec2 45o = 0.
what is even number?
Factorize:
5 - (3a2 - 2a) (6 - 3a2 + 2a)
3. Factorize:
(3x - 2y)2 + 3 (3x - 2y) - 10
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