The diagonal of a rectangle is of length a. it splits each corner forming two angles with a ratio of 1: 2. the area of the rectangle is: select one: a. 1/2 a^2 b. 1/4 a^2 c. 2a^2 d. sqrt 2/2a^2 e. sqrt 3/4a^2 f/ sqrt 3/4a^2

Step-by-step explanation:

Given

Length of diagonal is a

Diagonal divides the angle in 1:2

such that (because angle between two sides is 90)

width of rectangle is

Length of rectangle is

Area of rectangle

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

i hope this is what you were looking for.

see attached graph