Mathematics
In the adjoining figure, ABCD is a rectangle. Its diagonal AC = 15 cm and ∠ACD = α. If cot α = , find the perimeter and the area of the rectangle.
Related Questions
In figure (1) given below, ∆ABC is right-angled at B and ∆BRS is right-angled at R. If AB = 18 cm, BC = 7.5 cm, RS = 5 cm, ∠BSR = x° and ∠SAB = y°, then find :
(i) tan x°
(ii) sin y°.
Prove the following:
(sin A + cos A)2 + (sin A - cos A)2 = 2
In the figure (2) given below, ∆ABC is right-angled at B and BD is perpendicular to AC. Find :
(i) cos ∠CBD
(ii) cot ∠ABD
Using the measurements given in the figure alongside,
(a) Find the values of:
(i) sin Φ
(ii) tan θ.
(b) Write an expression for AD in terms of θ.
