Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
12th June, 2024

a² = 3²+4²-2*3*4cos60

a² = 25-12

a = √(13) units.

a = 3.6055512755 units.

a is the side length of the square.


(√(13)/sin60) = (4/sinb)

b = 73.897886248°


sin73.897886248 = c/3

c = 2.8823067685 units.


d = a-c

d = √(13)-2.8823067685

d = 0.723244507 units.


Therefore;


Red Shaded Area is;


Area triangle with height 0.723244507 units and base √(13) units.


= 0.5*0.723244507√(13)

= 1.3038475773 square units.

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