Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
20th May, 2023

a² = 11*11+10*10-2*11*10cos50

a = 8.92113926968 cm.


(8.92113926968/sin50) = (10/sinb)

b = 59.16920318624°


c = 180-50-59.16920318624

c = 70.83079681376° 


d = 0.5a

d = 4.46056963484 cm.


e² = 4.46056963484²+5.5²-2*4.46056963484*5.5cos59.16920318624

e = 5 cm.


(5/sin59.16920318624) = (5.5/sinf)

f = 70.83079681376°


g² = 4.46056963484²+5²-2*4.46056963484*5cos70.83079681376

g = 5.5 cm.


(5.5/sin70.83079681376) = (5/sinh)

h = 59.16920318624°


i = 180-59.16920318624-70.83079681376

i = 50°


(j/tan(0.5*70.83079681376))+(j/tan25) = 5

j = 1.40811631508 cm.


sin25 = 1.40811631508/k

k = 3.33188705401 cm.


l = 25+70.83079681376

l = 95.83079681376°


m = 25+59.16920318624

m = 84.16920318624°


Area Maroon in cm² to 1 decimal place is;


0.5*4.46056963484*3.33188705401sin95.83079681376+0.5*4.46056963484*3.33188705401sin84.16920318624


= 14.78522130837 cm²


≈ 14.8 cm²

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